Question

Prove that : sinA/1+cosA + 1+cosA/sinA=2cosecA​

Answer 1

Step-by-step explanation:

$\frac{sinA}{1+cosA} +\frac{1+cos}{sinA} =2cosec\\\\\\\frac{sin^{2}A+(1+cos)^{2} }{sinA(1+cosA)}$

$\frac{sin^{2}A+1+cos^{2}+2cos}{sinA(1+cosA)}$ and we have $sin^{2}+cos^{2} =1$

so $\frac{1+1+2cosA }{sinA(1+cosA)}$

$\frac{2+2cosA }{sinA(1+cosA)}$

$\frac{2(1+cosA)}{sinA(1+cosA)}$

$\frac{2}{sinA}$ we have $\frac{1}{sin}=cosec$

Finally $2cosecA$

I really hope this helps coz it took much time