1. If cosecθ + cot θ =
, then tanθ =
Ans. 
Exp:
2. sin 47º + sin 61º - sin 11º - sin 25º is equal to .........
Ans. cos 7º
Exp:
sin 47º + sin 61º - (sin 11º + sin 25º)
using sin C + sin D formula we get
2 sin 54º cos 7º - 2 sin 18º cos 7º
2 cos 7º (sin 54º - sin 18º)
using sin C - sin D formula we get
2 cos 7º × 2 cos 36º × sin 18º
Since sin 72º = cos 18º
3. 
Ans. 2(2n + 1)
Exp:
4. The smallest positive x satisfying the equation logcosx sinx + logsinx cosx, is ......
Ans. 
Exp:
5.
1) Both A and R are true and R is a correct explanation of A.
2) Both A and R are true and R is not a correct explanation of A.
3) 'A' is true and 'R' is false.
4) 'A' is false and 'R' is true.
Ans: 1 (Both A and B are true and R is a correct explanation of A.)
Exp:
6.
Ans: 2xyz
Exp:
Let x = sin A, y = sin B, z = sin C
A + B + C = 
Then sin A cos A + sin B cos B + sin C cos C
= 
[sin 2A + sin 2B + sin 2C]
= 2 sin A sin B sin C = 2 xyz
7. If sin-1 x + sin-1 y = , then cos-1 x + cos-1 y = .......
Ans: 
Exp:
8. If x + y = 
and cos x + cos y = 
then the values of x and y respectively ......
Ans: 90º, 30º
Exp:
9. 
Ans: 
Exp:
10. 
Ans: 
Exp:
11. 
Ans: 1
Exp:
12.
Ans: xyz
Exp:
13.
Ans: 
Exp:
14. If 
and 5 (x2 - y2) = nx, then n = ........ [where z = x + iy]
Ans: 12
Exp:
Given 
9 [(x - 2)2 + y2] = 4 [(x - 3)2 + y2]
5x2 + 5y2 = 12x n = 12
