[" 9"f+tan theta=(4)/(3)" ,tan "],[[g_(f)tan theta=(4)/(3)" ,than prove it "],[sin theta+cos theta=(7)/(5)]]

(tan5 theta+tan3 theta)/(tan5 theta-tan3 theta)=4cos2 theta cos4 theta

If sec theta + tan theta=(4)/(3) , then sec theta tan theta =_______

If sin theta = 3/4 and tan theta =9/2, then cos theta is

Prove that : tan 4 theta= (4 tan theta(1-tan^2 theta)) /(1-6 tan^2 theta+ tan^4 theta) .

Prove that : tan 3 theta= (3 tan theta-tan^3 theta)/(1-3 tan^2 theta) .

Consider f(theta)=|[tan theta,cos theta,sin theta],[cos theta,sin theta,tan theta],[sin theta,tan theta,cos theta]| then f((pi)/(4))+f(0) = ?

f theta_(1),theta_(2),theta_(3),theta_(4),theta_(5)in(0,(pi)/(2)), satisfying tan theta_(1)tan theta_(2)tan theta_(3)tan theta_(4)tan theta_(5)=1 then maximum_(2 value of )theta_(3)tan theta_(4)cos theta_(5) is cos theta_(1)cos theta_(2)cos theta_(3)cos theta_(4)cos theta_(5) is

tan theta tan((pi)/(3)+theta)tan((pi)/(3)-theta)=tan3 theta

Prove that (tan 5theta + tan 3theta)/(tan 5theta - tan 3theta) = 4 cos 2theta cos 4theta