Math, asked by gowdarshini, 1 year ago

2. sin0 + cos0/sin0-cos0 + sin0-cos0/sin0 + cos0 =2sec 2 0/tan 2 0

Answers

Answered by kvnmurty
7
The RHS is not completely given. In the denominator it is Tan² Ф - 1.

\frac{sin\phi+cos\phi}{\sin\phi-cos\phi}+\frac{sin\phi-cos\phi}{sin\phi+cos\phi}\\\\=\frac{sin^2\phi+cos^2\phi+2sin\phi\ cos\phi+sin^2\phi+cos^2\phi-2sin\phi cos\phi}{sin^2\phi-cos^2\phi}\\\\=\frac{2sec^2\phi}{tan^2\phi -1}
   here we divided the numerator and denominator by cos²Ф.
Similar questions