`sin^2theta+cos^2theta=`
(a)`0`
(b)`-1`
(c)`1`
(d)`2`

If cos theta + cos^2 theta = 1, then value of sin^2 theta + sin^4 theta is (a) -1 (c) 0 (c) 1 (d) 2

The greatest value of sin^(4)theta+cos^(4)theta is (1)/(2)(b)1 (c) 2(d)3

2(sin^(6)theta+cos^(6)theta)-3(sin^(4)theta+cos^(4)theta) is equal to 0(b)1(c)-1(d) None of these

int_ (0) ^ ((pi) / (2)) sin theta cos theta (a ^ (2) sin ^ (2) theta + b ^ (2) cos ^ (2) theta) ^ ((1) / ( 2)) d theta = ((1) / (3)) ((a ^ (2) + ab + b ^ (2)) / (a + b))

If 5tan theta=4, then (5sin theta-3cos theta)/(5sin theta+2cos theta) is equal to 0 (b) 1 (c) (1)/(6)(d)6

If sin theta+sin^(2)theta=1, then cos^(2)theta+cos^(4)theta=-1(b)1(c)0(d) None of these

The value of theta lying between 0 and pi/2 and satisfying the equation |(1+cos^2theta, sin^2theta, 4sin4theta),(cos^2theta, 1+sin^2theta, 4sin4theta),(cos^2theta, sin^2theta, 1+4sin4theta)|=0 is (are) (A) (7pi)/24 (B) (3pi)/8 (C) (11pi)/24 (D) (7pi)/12

Prove that: (a) (sin 2 theta)/(1+cos 2 theta)=tan theta (b) (1+sin 2 theta+2theta)/(1+sin2 theta-cos 2 theta)=cot theta

If sin theta = (1)/(2) and theta is acute, the (3 cos theta - 4 cos^(3) theta) is equal to (a)0 (b) (1)/(2) (c) (1)/(6) (d) -1