$({cosec} A-\cot A)(1+\cos A)=?$
Answer & explanation
Correct answer: option 2
( cosecA - cotA ) . ( 1 + cosA )
= ( \(\frac{1}{sinA}\) - \(\frac{cosA}{sinA}\) ) . ( 1 + cosA )
= \(\frac{1 - cosA}{sinA}\) ) . ( 1 + cosA )
= \(\frac{1² - cos²A}{sinA}\) )
{ using , sin²A + cos²A = 1 }
= = \(\frac{sin²A}{sinA}\) )
= sinA