The value of $ \sqrt{\frac{1+cosA}{1-cosA}} $ is :
Answer & explanation
Correct answer: option 2
$\sqrt{\frac{1+cosA}{1-cosA}}$
Multiply and divide by ( 1 + cosA )
= $\sqrt{\frac{1+cosA}{1-cosA}}$ × $\sqrt{\frac{1+cosA}{1+cosA}}$
= $\sqrt{\frac{(1+cosA)2}{sin2A}}$
= \(\frac{( 1 + cosA ) }{sinA}\)
= cosecA + cotA