If `sin^2theta+2cos^2theta+3sin^2theta+4cos^2theta+......+` 40 terms = 405 where `theta` is acute , then find the value of `tan theta`

If sin^(2) theta +2 cos^(2) theta + 3 sin^(2) theta + 4 cos^(2) theta+….+ 40 term =405 where theta is acute, then find the value of tan theta .

If cos^(2)theta+2sin^(2)theta+3cos^(2)theta+4sin^(2)theta+......20terms=10025 and theta is an acute angle then the value of sin theta-cos theta is

If sin theta=cos theta then 2tan theta+cos^(2)theta=

If cos2theta=sin4theta , where 2theta and 4theta are acute angles, find the value of theta .

(1+sin2 theta-cos2 theta)/(1+sin2 theta+cos2 theta)=tan theta

If cos2 theta=sin4 theta, where 2 theta and 4 theta are acute angles,find the value of theta.

If sqrt(3) "tan" theta = 1 "and " theta is acute find the value of sin 3theta "cos" 2theta .

If cos2theta=sin4theta ,where 2theta and 4theta are acute angles,then the value of theta is:

If sqrt3 tan theta = 1 and theta is acute, find the value of sin 3 theta + cos 2 theta

If cos2theta=sin4theta , here 2theta and 4theta are acute angles, then the value of theta is