If `theta=sin^(-1)(a^(2)+1)+cos^(-1)(a^(2)+1)-cot^(-1)(a^(2)+1)` ,then value of `sec^(2)theta` is :
(A) 1 (B) `sqrt(2)` (C)2 (D) 3

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

If tan^(-1)(sin^(2)theta-2sin theta+3)+cot^(-1)(5^(sec^(2)y)+1)=(pi)/(2) then value of cos^(2)theta-sin theta is equal to 0(b)-1(c)1 (d) none of these

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

x=sin^(-1)((2theta)/(1+theta^(2))),y=sec^(-1)(sqrt(1+theta^(2)))

If cot theta=(1)/(sqrt(3)), find the value of (1-cos^(2)theta)/(2-sin^(2)theta)

If a sin x+b cos(x+theta)+b cos(x-theta)=d then the minimum value of |cos theta| is equal to (a) (1)/(2|b|)sqrt(d^(2)-a^(2))( b )(1)/(2|a|)sqrt(d^(2)-a^(2))(c)(1)/(2|d|)sqrt(d^(2)-a^(2))(d) none of these

If sin theta=(1)/(sqrt(2)) and cos theta=(1)/(sqrt(2)), then cot theta=?

sin^(4) theta + 2 cos^(2) theta (1 - (1)/( sec^(2) theta)) + cos ^(4) theta =

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

(cos^(2)theta-cot^(2)theta+1)/(sin^(2)theta+tan^(2)theta-1)=cot^(2)theta