If (m tan ( alpha - theta))/(cos^(2) the...

If `(m tan ( alpha - theta))/(cos^(2) theta) = (ntan theta)/(cos^(2)( alpha - theta))`
Prove that : `theta = 1/2 [alpha - tan^(-1) ((n-m)/(n+m) tan alpha )]`

Similar Questions

Explore conceptually related problems

If m tan(alpha-theta)/( cos^2 theta) = n (tan theta)/ (cos^2 (alpha - theta) the prove that 2 theta = alpha - [ tan^(-1) ((n-m)/(n+m)) tan alpha]

Prove that (1 - cos 2 theta)/( sin 2 theta) = tan theta.

If sin (theta + alpha ) = cos ( theta + alpha), prove that tan theta =(1- tan alpha )/(1 + tan alpha )

If cos theta=(cos alpha-cos beta)/(1-cos alpha cos beta), prove that tan theta/2=+-tan alpha/2 cot beta/2.

If tan 2theta= sec 2 alpha , prove that sin 2theta=(1-tan^4 alpha)/(1+tan^4 alpha)

Solve sin^2 theta tan theta+cos^2 theta cot theta-sin 2 theta=1+tan theta+cot theta

Solve the equation : tan^2 theta = tan^2 alpha

If msintheta=nsin(theta+2alpha) , then prove that tan(theta+alpha)cotalpha=(m+n)/(m-n) .

If tan(alpha+theta)=ntan(alpha-theta) , show that (n+1)sin2theta=(n-1)sin2alphadot

Prove that cos theta (tan theta +2) (2tan theta +1) = 2 sec theta + 5 sin theta