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

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

If sin theta- cos theta =1 , then the vlaue of sin^(3) theta- cos^(3) 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

The value of theta lying between theta = 0 and theta = pi//2 and satisfying the equation |(1+sin^(2)theta,cos^(2)theta,4sin4theta),(sin^(2)theta,1+cos^(2)theta,4sin4theta),(sin^(2)theta,cos^(2)theta,1+4sin4theta)|=0 are a) 3pi//24 b) 5pi//24 c) 11pi//24 d) pi//24

The value of theta with 0lethetale90^(@) and sin^(2)theta+2cos^(2)theta=(7)/(4) is equal to

Solve sqrt 2+sin theta=cos theta .

The value of sin(45^(@)+theta)-cos(45^(@)-theta) is equal to