`(tan(theta+varphi)+tan(theta-varphi))/(1-tan(theta+varphi)tan(theta-varphi))=tan2 theta`

Prove that: (sin(theta+varphi)-2sin theta+sin(theta-varphi))/(cos(theta+varphi)-2cos theta+cos(theta-varphi))=tan theta

Prove that: (sin(theta+varphi)-2sintheta+"sin"(theta-varphi))/(cos(theta+varphi)-2costheta+"cos"(theta-varphi))=t a ntheta

If (a+b)tan(theta-varphi)=(a-b)tan(theta+varphi),\ t h e n(sin(2theta))/("sin"(2varphi)) is equal to a. a b b. a/b c. b/a d. a^2b^2

(a+b)tan(theta-varphi)=(a-b)tan(theta+varphi), then (sin(2 theta))/(sin(2 varphi)) is equal to a.ab b.(a)/(b) c.(b)/(a) d.a^(2)b^(2)

tan4 theta=4tan theta(1-tan^(2)theta)/(1-6tan^(2)theta+tan^(4)theta)

If 3tanthetatanvarphi=1 , then prove that 2cos(theta+varphi)=cos(theta-varphi) .

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

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

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