Find the minimum value of `9tan^(2)theta+4cot^(2)theta` .

Find the least value of 2sin^(2)theta+3cos^(2)theta

If alpha, beta are the roots of the quadratic equation x^(2)-2(1-sin 2theta) x-2 cos^(2) 2 theta=0, (theta in R) then find the minimum value of (alpha^(2)+beta^(2)) .

Solve tan 5theta=cot2theta .

solve the equation tan^2theta +cot^2theta=2

If theta=pi//4n , then the value of tan(theta) tan (2theta).....tan(2n-2)thetatan(2n-1)theta is

If a and b are positive numbers such that a gt b , then the minimum value of a sec theta- b tan theta (0 lt theta lt pi/2) is a) 1/sqrt(a^2-b^2) b) 1/sqrt(a^2+b^2) c) sqrt(a^2+b^2) d) sqrt(a^2-b^2)

If sin theta + cosec theta = 2, then the value of sin ^(6) theta + cosec ^(6) theta is equal to

Solve 7cos^(2)theta+3sin^(2)theta=4 .

The value of sec^(2)theta+cosec^(2)theta is equal to a) tan^(2)theta+cot^(2)theta b) sec^(2)thetacosec^(2)theta c) sec theta cosectheta d) sin^(2)theta cos^(2)theta