1 |
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
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2 |
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>
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3 |
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
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4 |
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>
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5 |
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>
|
6 |
Tan 2θ= |
|
7 |
cosθ/2= |
|
8 |
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
|
9 |
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>
|
10 |
cos 2α= |
sin<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, 224);"><i>α</i></span>+ 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, 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>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, 224);"><i>θ</i></span>
None of these
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11 |
|
-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>
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>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>
-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>θ</i></span>
|
12 |
Tan(α-β)= |
|
13 |
Fundamental law is |
|
14 |
Let P(x1, y1) and Q(x2, y2) be two points in the co-ordinate plane. Let d = distance between P and Q |
|
15 |
|
G.P
H.P.
A.P.
No particular sequence
|
16 |
Tan 3x tan 2x-tan x is equal to |
Tan x tan 2x tan 3x
-tan x tan 2x tan 3x
Tan x tan 2x - tan - tan x tan 3x - tan 2x tan 3x
None of these
|
17 |
The value of the expression 3 cosθ+ 4 sinθθlie between |
-7 and 7
-25 and 25
-1 and 1
-5 and 5
|
18 |
The value of the expression sinθ+ cosθlies between |
|
19 |
|
|
20 |
|
|
21 |
|
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22 |
|
45°
30°
75°
60°
|
23 |
The value of sin 28°cos 17°+cos 28°sin 17°is |
|
24 |
If sin A = cos A, 0°<A<90° then A is equal to |
1
1/2
0
None of these
|
25 |
The value of sin220° + sin270° is equal to |
1
2
-1
1/2
|
26 |
Sin 50°-sin 70°+sin 10° is equal to |
1
0
1/2
2
|
27 |
|
Right angled
Obtuse angled
Isosceles
Equilateral
|
28 |
The maximum value of sin x + cos x is |
|
29 |
The maximum value of 12 sinθ-9 sin2θis x |
3
4
5
None of these
|
30 |
The maximum value of 12 sinθ-9 sin2θis x |
3
4
5
None of these
|