ECAT Pre General Science Chapter 12 online mcq test with answers for Mathematics chapter 12 (Trigonometric Functions and their Identities)

ECAT Pre General Science Mathematics Chapter 12 Trigonometric Functions and Identities Online Test

Sr. #	Questions	Answers Choice
1	Distance between A(3, 8), B(5, 6) is
2	cos (α-β) = cosαcosβ+ sinαsinβis true for all	<i style="text-align: center;">α</i>><i style="text-align: center;">β</i>> 0 <i style="text-align: center;">α</i>><i style="text-align: center;">β</i> <i style="text-align: center;">β</i>><i style="text-align: center;">α</i> None of these
3	sin (2π-θ)	cos<i style="text-align: center;">θ</i> sin<i style="text-align: center;">θ</i> tan<i style="text-align: center;">θ</i> -sin<i style="text-align: center;">θ</i>
4	Which one is a pair of allied angles	(180° -<span style="color: rgb(34, 34, 34); font-family: "Times New Roman"; font-size: 24px; text-align: center; background-color: rgb(255, 255, 224);"><i>θ)</i></span> (180° -<span style="font-family: "Times New Roman"; font-size: 24px; color: rgb(34, 34, 34); text-align: center; background-color: rgb(255, 255, 224);"><i>θ,</i></span>180° +<span style="font-family: "Times New Roman"; font-size: 24px; color: rgb(34, 34, 34); text-align: center; background-color: rgb(255, 255, 224);"><i>θ)</i></span> (180° +<span style="font-family: "Times New Roman"; font-size: 24px; color: rgb(34, 34, 34); text-align: center; background-color: rgb(255, 255, 224);"><i>θ)</i></span> None of these
5	2π+θwill have terminal side in Quad	I II III IV
6	cos 315° = ______
7	sec (-360°) = ______	0 1 2 3
8	tan (-135°) = ______θ	0 1 2 3
9	sin 540° =	0 1 2 3
10	cos (180° -θ)=	sin<i style="text-align: center;">θ</i> - cos<i style="text-align: center;">θ</i> - sin<i style="text-align: center;">θ</i> None of above
11	Express as a sum or difference: 2 sin 5θcosθ	cos 4<span style="color: rgb(34, 34, 34); font-family: "Times New Roman"; font-size: 24px; text-align: center; background-color: rgb(255, 255, 224);"><i>θ</i></span>- cos 2<span style="color: rgb(34, 34, 34); font-family: "Times New Roman"; font-size: 24px; text-align: center; background-color: rgb(255, 255, 224);"><i>θ</i></span> sin 4<span style="color: rgb(34, 34, 34); font-family: "Times New Roman"; font-size: 24px; text-align: center; background-color: rgb(255, 255, 224);"><i>θ</i></span>+ sin 2<span style="color: rgb(34, 34, 34); font-family: "Times New Roman"; font-size: 24px; text-align: center; background-color: rgb(255, 255, 224);"><i>θ</i></span> cos 4<span style="color: rgb(34, 34, 34); font-family: "Times New Roman"; font-size: 24px; text-align: center; background-color: rgb(255, 255, 224);"><i>θ</i></span>+ cos 2<span style="color: rgb(34, 34, 34); font-family: "Times New Roman"; font-size: 24px; text-align: center; background-color: rgb(255, 255, 224);"><i>θ</i></span> sin 4<span style="color: rgb(34, 34, 34); font-family: "Times New Roman"; font-size: 24px; text-align: center; background-color: rgb(255, 255, 224);"><i>θ</i></span>- sin 2<span style="color: rgb(34, 34, 34); font-family: "Times New Roman"; font-size: 24px; text-align: center; background-color: rgb(255, 255, 224);"><i>θ</i></span>
12	Cos (α+β) - cos (α-β) =	-2 sin<span style="font-family: "Times New Roman"; font-size: 24px; color: rgb(34, 34, 34); text-align: center; background-color: rgb(255, 255, 224);"><i>α</i></span> sin<i style="text-align: center;">β</i> 2 sin<span style="font-family: "Times New Roman"; font-size: 24px; color: rgb(34, 34, 34); text-align: center; background-color: rgb(255, 255, 224);"><i>α</i></span>cos<i style="text-align: center;">β</i> -2 sin<span style="font-family: "Times New Roman"; font-size: 24px; color: rgb(34, 34, 34); text-align: center; background-color: rgb(255, 255, 224);"><i>α</i></span>cos<span style="font-family: "Times New Roman"; font-size: 24px; color: rgb(34, 34, 34); text-align: center; background-color: rgb(255, 255, 224);"><i>α</i></span> 4 sin<span style="font-family: "Times New Roman"; font-size: 24px; color: rgb(34, 34, 34); text-align: center; background-color: rgb(255, 255, 224);"><i>α</i></span> cos<i style="text-align: center;">β</i>
13	cos (α+β) + cos (α-β) =	4 cos<i style="text-align: center;">α</i>cos<span style="font-family: "Times New Roman"; font-size: 24px; color: rgb(34, 34, 34); text-align: center; background-color: rgb(255, 255, 224);"><i>β</i></span> 2 cos<i style="text-align: center;">α</i>cos<i style="text-align: center;">β</i> 2 sin<i style="text-align: center;">α</i>sin<i style="text-align: center;">β</i> 2 sin<i style="text-align: center;">α</i>cos<i style="text-align: center;">β</i>
14	cos⁴θ- sin⁴θ=	cos4<span style="color: rgb(34, 34, 34); font-family: "Times New Roman"; font-size: 24px; text-align: center; background-color: rgb(255, 255, 224);"><i>θ</i></span> cos2<span style="color: rgb(34, 34, 34); font-family: "Times New Roman"; font-size: 24px; text-align: center; background-color: rgb(255, 255, 224);"><i>θ</i></span> -sin<span style="color: rgb(34, 34, 34); font-family: "Times New Roman"; font-size: 24px; text-align: center; background-color: rgb(255, 255, 224);"><i>θ</i></span> sin2<span style="color: rgb(34, 34, 34); font-family: "Times New Roman"; font-size: 24px; text-align: center; background-color: rgb(255, 255, 224);"><i>θ</i></span>
15	sin²αcos²α=	-1 0 1 None of these
16	If cosα= 4/5, then cosα/2
17	tanθ/2
18	sin 2 α=
19	cos 2α=	1 - 2 sin<sup>2</sup><i style="text-align: center;">α</i> sin <sup>2</sup><i style="text-align: center;">α</i>+ cos<sup>2</sup><span style="color: rgb(34, 34, 34); font-family: "Times New Roman"; font-size: 24px; text-align: center; background-color: rgb(255, 255, 248);"><i>β</i></span> sin<sup>2</sup><i style="text-align: center;">α</i>- cos<sup>2</sup><span style="font-family: "Times New Roman"; font-size: 24px; color: rgb(34, 34, 34); text-align: center; background-color: rgb(255, 255, 248);"><i>β</i></span> None of these
20	sin (α+β) - sin (α -β) =	4 cos<i style="text-align: center;">α</i>sin<span style="font-family: "Times New Roman"; font-size: 24px; color: rgb(34, 34, 34); text-align: center; background-color: rgb(255, 255, 224);"><i>β</i></span> 2 cos<i style="text-align: center;">α</i>sin<span style="font-family: "Times New Roman"; font-size: 24px; color: rgb(34, 34, 34); text-align: center; background-color: rgb(255, 255, 224);"><i>β</i></span> 4 cos<i style="text-align: center;">α</i>cos<span style="font-family: "Times New Roman"; font-size: 24px; color: rgb(34, 34, 34); text-align: center; background-color: rgb(255, 255, 224);"><i>β</i></span> 4 sin <i style="text-align: center;">α</i>sin<span style="font-family: "Times New Roman"; font-size: 24px; color: rgb(34, 34, 34); text-align: center; background-color: rgb(255, 255, 224);"><i>β</i></span>
21	sin (α+β) + sin (α-β)	2 sin<span style="font-family: "Times New Roman"; font-size: 24px; color: rgb(34, 34, 34); text-align: center; background-color: rgb(255, 255, 224);"><i>α</i></span>cos<i style="text-align: center;">β</i> sin (2<span style="font-family: "Times New Roman"; font-size: 24px; color: rgb(34, 34, 34); text-align: center; background-color: rgb(255, 255, 224);"><i>α</i></span><i style="text-align: center;">β)</i> sin<i style="text-align: center;">α</i>cos<span style="font-family: "Times New Roman"; font-size: 24px; color: rgb(34, 34, 34); text-align: center; background-color: rgb(255, 255, 224);"><i>α</i></span> None of these
22	sin (α -β)=	sin<span style="font-family: "Times New Roman"; font-size: 24px; color: rgb(34, 34, 34); text-align: center; background-color: rgb(255, 255, 224);"><i>α</i></span>cos<i style="text-align: center;">β</i>- cos<i style="text-align: center;">α</i>sin<span style="font-family: "Times New Roman"; font-size: 24px; color: rgb(34, 34, 34); text-align: center; background-color: rgb(255, 255, 224);"><i>β</i></span> sin<span style="font-family: "Times New Roman"; font-size: 24px; color: rgb(34, 34, 34); text-align: center; background-color: rgb(255, 255, 224);"><i>α</i></span>cos<i style="text-align: center;">β</i>+ cos<i style="text-align: center;">α</i>sin<span style="font-family: "Times New Roman"; font-size: 24px; color: rgb(34, 34, 34); text-align: center; background-color: rgb(255, 255, 224);"><i>β</i></span> sin<span style="font-family: "Times New Roman"; font-size: 24px; color: rgb(34, 34, 34); text-align: center; background-color: rgb(255, 255, 224);"><i>α</i></span>cos<i style="text-align: center;">α</i>- cos<i style="text-align: center;">β</i>sin<span style="font-family: "Times New Roman"; font-size: 24px; color: rgb(34, 34, 34); text-align: center; background-color: rgb(255, 255, 224);"><i>β</i></span> sin<span style="font-family: "Times New Roman"; font-size: 24px; color: rgb(34, 34, 34); text-align: center; background-color: rgb(255, 255, 224);"><i>α</i></span>cos<i style="text-align: center;">α</i>- cos<i style="text-align: center;">β</i>sin<span style="font-family: "Times New Roman"; font-size: 24px; color: rgb(34, 34, 34); text-align: center; background-color: rgb(255, 255, 224);"><i>β</i></span>
23	sin (α +β)=	sin<span style="color: rgb(34, 34, 34); font-family: "Times New Roman"; font-size: 24px; text-align: center; background-color: rgb(255, 255, 224);"><i>α</i></span>cos<span style="color: rgb(34, 34, 34); font-family: "Times New Roman"; font-size: 24px; text-align: center; background-color: rgb(255, 255, 224);"><i>β</i></span>- cos<span style="color: rgb(34, 34, 34); font-family: "Times New Roman"; font-size: 24px; text-align: center; background-color: rgb(255, 255, 224);"><i>α</i></span>sin<span style="color: rgb(34, 34, 34); font-family: "Times New Roman"; font-size: 24px; text-align: center; background-color: rgb(255, 255, 224);"><i>β</i></span> sin<span style="font-family: "Times New Roman"; font-size: 24px; color: rgb(34, 34, 34); text-align: center; background-color: rgb(255, 255, 224);"><i>α</i></span>cos<span style="font-family: "Times New Roman"; font-size: 24px; color: rgb(34, 34, 34); text-align: center; background-color: rgb(255, 255, 224);"><i>β</i></span>- cos<span style="font-family: "Times New Roman"; font-size: 24px; color: rgb(34, 34, 34); text-align: center; background-color: rgb(255, 255, 224);"><i>α</i></span>sin<span style="font-family: "Times New Roman"; font-size: 24px; color: rgb(34, 34, 34); text-align: center; background-color: rgb(255, 255, 224);"><i>β</i></span> sin<span style="font-family: "Times New Roman"; font-size: 24px; color: rgb(34, 34, 34); text-align: center; background-color: rgb(255, 255, 224);"><i>α</i></span>cos<i style="text-align: center;">α</i>- cos<i style="text-align: center;">β</i>sin<span style="font-family: "Times New Roman"; font-size: 24px; color: rgb(34, 34, 34); text-align: center; background-color: rgb(255, 255, 224);"><i>β</i></span> sin<span style="font-family: "Times New Roman"; font-size: 24px; color: rgb(34, 34, 34); text-align: center; background-color: rgb(255, 255, 224);"><i>α</i></span>cos<i style="text-align: center;">α</i>+ cos<i style="text-align: center;">β</i>sin<span style="font-family: "Times New Roman"; font-size: 24px; color: rgb(34, 34, 34); text-align: center; background-color: rgb(255, 255, 224);"><i>β</i></span>
24	Tan 2θ=
25	cosθ/2=
26	sinα=	2 sin<span style="color: rgb(34, 34, 34); font-family: "Times New Roman"; font-size: 24px; text-align: center; background-color: rgb(255, 255, 224);"><i>α</i></span>cos<span style="color: rgb(34, 34, 34); font-family: "Times New Roman"; font-size: 24px; text-align: center; background-color: rgb(255, 255, 224);"><i>α</i></span> 2 sin<span style="color: rgb(34, 34, 34); font-family: "Times New Roman"; font-size: 24px; text-align: center; background-color: rgb(255, 255, 224);"><i>α</i></span>cos<span style="color: rgb(34, 34, 34); font-family: "Times New Roman"; font-size: 24px; text-align: center; background-color: rgb(255, 255, 224);"><i>β</i></span> 2 sin<i style="text-align: center;">α</i>/2 cos<i style="text-align: center;">α</i>/2 1+ tan<sup>2</sup><i style="text-align: center;">α</i>/2
27	sin(180° -θ)=	cos<span style="color: rgb(34, 34, 34); font-family: "Times New Roman"; font-size: 24px; text-align: center; background-color: rgb(255, 255, 248);"><i>θ</i></span> -cos<span style="color: rgb(34, 34, 34); font-family: "Times New Roman"; font-size: 24px; text-align: center; background-color: rgb(255, 255, 248);"><i>θ</i></span> Tan<span style="color: rgb(34, 34, 34); font-family: "Times New Roman"; font-size: 24px; text-align: center; background-color: rgb(255, 255, 248);"><i>θ</i></span> Sin<span style="color: rgb(34, 34, 34); font-family: "Times New Roman"; font-size: 24px; text-align: center; background-color: rgb(255, 255, 248);"><i>θ</i></span>

Download This Set

ECAT Pre General Science Mathematics Chapter 12 Trigonometric Functions and Identities Online Test With Answers

ECAT Pre General Science Mathematics Chapter 12 Trigonometric Functions and Identities Online Test