| 1 |
Period of Sine and Cosine function is |
<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>π</i></span>
2<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>π</i></span>
-<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>π</i></span>
-2<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>π</i></span>
|
| 2 |
Range of cosecθis |
W - {y | -1 < y < 1}
R - {y | -1 < y < 1}
O - {y | -1 < y < 1}
R
|
| 3 |
Range of secθis |
Z - {x | -1 < x < 1}
W - {x | -1 < x < 1}
R - {x | -1 < x < 1}
R
|
| 4 |
Domain of cosecθis |
|
| 5 |
Domain of secθis |
|
| 6 |
Range of cotθis |
(+<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>∞</i></span>to -<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>∞</i></span>)
(-1 to +1)
(-5 to +5)
Set of even numbers only
|
| 7 |
Range of tanθis |
Set of complex numbers
Set of real numbers
Set of odd numbers
Set of positive integers only
|
| 8 |
Domain of cotθis |
|
| 9 |
Range of cosθis |
|
| 10 |
Range of sinθis |
|
| 11 |
Domain of cosθis |
Set of odd numbers
Set of integers
Set of real numbers
Set of complex numbers
|
| 12 |
Domain of sinθis |
Set of real numbers
Set of complex numbers
Set of natural numbers
Set of even numbers
|
| 13 |
Distance between A(3, 8), B(5, 6) is |
|
| 14 |
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
|
| 15 |
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>
|
| 16 |
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
|
| 17 |
2π+θwill have terminal side in Quad |
I
II
III
IV
|
| 18 |
cos 315° = ______ |
|
| 19 |
sec (-360°) = ______ |
0
1
2
3
|
| 20 |
tan (-135°) = ______θ |
0
1
2
3
|
| 21 |
sin 540° = |
0
1
2
3
|
| 22 |
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
|
| 23 |
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>
|
| 24 |
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>
|
| 25 |
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>
|
| 26 |
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>
|
| 27 |
sin2αcos2α= |
-1
0
1
None of these
|
| 28 |
If cosα= 4/5, then cosα/2 |
|
| 29 |
tanθ/2 |
|
| 30 |
sin 2 α= |
|
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