Question

if cosec A=2 find the value of 1/tanA+ sinA/1+cosA​

Answer 1

Answer:

here,

cosecA=2

or,$\frac{1}{sinA} =2$

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

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

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

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

or,$cotA+\frac{sinA}{1+cosA} =2$

or,$\frac{1}{tanA}+\frac{sinA}{1+cosA} =2$

∴$\frac{1}{tanA}+\frac{sinA}{1+cosA} =2$