1 |
The number of values of x in the interval [0, 5π] satisfying the equation 3 sin2x - 7 sinx + 2 = 0 is |
0
5
6
10
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2 |
|
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3 |
|
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4 |
cotθ= sin 2θifθ= |
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5 |
cotθ= sin 2θifθ= |
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6 |
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7 |
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8 |
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No solution
One real solution
More than one real solution
None of these
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9 |
If 4 sin2θ=1, then values ofθare |
|
10 |
|
30°
45°
60°
75°
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11 |
The general solution of tan 3x = 1 is |
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12 |
If Sin A = sin B, cos A = cos B, then the value of A in terms of B is |
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13 |
Sec-1x = |
Cos<sup>-1</sup>1/x
cosec<sup>-1</sup>1/x
Cos<sup>-1</sup>(-x)
Tan<sup>-1</sup>x
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14 |
Sin-1(-x)= |
Cos<sup>-1</sup>1/x
- Sin<sup>-1</sup>X
Cot<sup>-1</sup>X
None of these
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15 |
Tan-11/x = ______ |
sin x
sec<sup>-1</sup>X
cot<sup>-1</sup>X
None of these
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16 |
sin-1[-1/2] = ______ |
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17 |
The number of triplets (x, y, z) satisfying sin-1x +cos-1y + sin-1z = 2π is |
0
2
1
Infinite
|
18 |
If tan-13 + tan-1x = tan-18, then x= |
5
1/5
5/14
14/5
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19 |
|
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20 |
|
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21 |
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<i style="text-align: center;">π / 3</i>
<i style="text-align: center;">π / 4</i>
<i style="text-align: center;">π / 6</i>
0
|
22 |
|
<i style="text-align: center;">π</i>
<i style="text-align: center;">π / 2</i>
<i style="text-align: center;">π / 3</i>
<i style="text-align: center;">π / 4</i>
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23 |
sin[cot-1{cos(tan-1x)}]= |
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24 |
tan(cot-1x) is equal to |
cot(tan<sup>-1</sup>x)
tan x
secon x
None of these
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25 |
|
<i style="text-align: center;">π / 4</i>
<i style="text-align: center;">π / 6</i>
<i style="text-align: center;">π / 3</i>
0
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26 |
|
<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>π / 3</i></span>
<i style="text-align: center;">π / 4</i>
<i style="text-align: center;">π / 2</i>
<i style="text-align: center;">π</i>
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27 |
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16 / 7
6 / 17
7 / 16
None of these
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28 |
The solution set of the equation tan-1x - cot-1x = cos-1(2 - x) is |
[0, 1]
[-1, 1]
[1, 3]
None of these
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29 |
|
2
5
7
None of these
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30 |
|
20
10
0
None of these
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