Match the following functions with their corresponding ranges `f(theta)=sin^4 theta+cos^4 theta`

The range of sin^(2)theta+cos^(4)theta=A is

Find the derivatives of the following functions with respect to corresponding independent variables: y = tan(Theta)(sin(Theta) + cos(Theta))

If sin theta+cos theta=a then sin ^(4) theta+cos ^(4) theta=

Derive formulas for the following in terms of functions of 2 theta and and then of theta. (i) sin 4 theta (ii) cos 4 theta, (iii) tan 4 theta

If sin theta+cos theta=a, then sin^(4)theta+cos^(4)theta=

If (sin theta+cos theta)/(sin theta-cos theta)=3 then sin^4 theta-cos^4 theta=

Prove the following identities : (sin theta +sin 3 theta + sin 5 theta + sin 7theta)/(cos theta + cos 3 theta + cos 5 theta + cos 7 theta)=tan 4 theta

If sin theta + cos theta = a " then " sin^(4) theta + cos^(4) theta =

int(2sin theta cos theta)/(sin^(4)theta+cos^(4)theta)d theta