135. If cos(a+2b)=m cosa then How To prove that (m-1)cotb=(m+1)tanb

Open in App

Solution

Suggest Corrections

Similar questions

Prove that $\frac{1 - cos A + cos B - cos (A + B)}{1 + cos A - cos B - cos (A + B)} = tan \frac{A}{2} cot (\frac{B}{2})$ .

\frac{cos A}{cos B} = m

\frac{cos A}{sin B} = n .

(m^{2} + n^{2}) {cos}^{2} B = n

m = \frac{sin A}{sin B}, n = \frac{cos A}{cos B}

(m^{2} - n^{2}) {sin}^{2} B = 1 - n^{2}

2 b = (m + 1) a

cos A = \frac{1}{2} \sqrt{(\frac{(m - 1) (m + 3)}{m})},

1 < m < 3,

\frac{c_{1}}{c_{2}}

sin A + cos A = m

{sin}^{3} A + {cos}^{3} A = n

m^{3} - 3 m + 2 n = 0

Join BYJU'S Learning Program