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