Prove that: `(sinx)/(cos3x)+(sin3x)/(cos9x)+(sin9x)/(cos27 x)=(tan27 x-tanx)`

Prove that: (sinx)/(cos3x)+(sin3x)/(cos9x)+(sin9x)/(cos27 x)=(1/2)(tan27 x-tanx)

Prove that: (sinx)/(cos3x)+(sin3x)/(cos9x)+(sin9x)/(cos27 x)=(1/2)(tan27 x-tanx)

Prove that sinx/cos(3x)+sin(3x)/cos(9x)+sin(9x)/cos(27x)=1/2 (tan27x-tanx)

(cos^3x-sin^3x)/(cosx-sinx)

Number of solutions (s) of the equation (sin x)/(cos 3x) +(sin 3x)/(cos 9x)+(sin 9x)/(cos 27 x)=0 in the interval (0, pi/4) is __________.

Number of solution(s) of the equation (sinx)/(cos3x)+(sin3x)/(cos9x)+(sin9x)/(cos27x)=0 in the interval (0,pi/4) is____________

Prove that: (cos9x-cos5x)/(sin17 x-sin3x)=-(sin2x)/(cos10 x)

Prove that: (sinx+sin3x)/(cosx+cos3x)=tan2x

Prove that: (sinx-sin3x)/(sin^2x-cos^2x)=2sinx

Prove that: (cos9x-cos5x)/(sin 17 x-sin3x)=\ -(sin2x)/(cos 10 x)