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

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

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

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 tan^(-1)(sin^(2)theta-2sintheta+3)+cot^(-1)(5^(sec^(2)beta)+1)=pi/2 , then the value of cos^(2)theta-sintheta is

The value of (cos3 theta)/(2cos2 theta-1) is equal to cos theta(b)sin theta (c) tan theta(d) none of these

The value of (cos3theta)/(2cos2theta-1) is equal to (a) costheta (b) sintheta (c) tantheta (d) none of these

The value of (cos3theta)/(2cos2theta-1) is equal to (a) costheta (b) sintheta (c) tantheta (d) none of these

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

If tan^-1 (sin^2theta - 2 m sintheta + 3m^2) + cot^-1(5^(sec^2y) + m^3) = pi/2 and m be the least value of (1 + sec^-1 t) (1 + cos^-1t), then the value of( |cos theta| - sin theta ) is equal to (1)m/2 (2)m (3)2m (4) m/4

If tantheta_(1)=1,sintheta_(2)=(1)/(sqrt(2)) then the value of sin(theta_(1)+theta_(2)) equal to