Trigonomatry

1. If sin x + sin2 x = 1, then the value of cos2x + cos4x is-(1) 0 (2) 1 (3) 2 (4) 3

2. If tan1

A = -2

and tan 1

B = -3

,then A + B can be equal to

(1) π

4(2)

3π

4(3)

5π

4(4)

7π

4

3.1 + sin2θ + cos2θ

1 + sin2θ - cos2θcan be equal to

(1) 1

tanθ2

(2) 1

cotθ2

(3) cosA

cosB(4)

sinC

cos B

4. If 2π 4π

x = ycos = zcos3 3

, then xy + zy + zx =

(1) -1 (2) 0 (3) 1 (4) 2

5. If tan = (1+2-x)-1, tan = (1+2x+1)-1, then + =(1) /6 (2) /4 (3) /3 (4) /2

6. The number of real solutions of the equation sin (ex) = 2x + 2-x

is-(1) 1 (2) 0 (3) 2 (4) Infinite

7. If tan x + tan y = 25, and cot x + cot y = 30, then the value oftan (x + y) is(1) 150 (2)200 (3) 250 (4) 100

8. If cos( + ) + sin( - ) = 0 and 2010tan + 1 = 0, then tan is equal to(1) 150 (2)200 (3) 250 (4) 100