Question

prove that (sinA+cosA) (tan A+cotA) =secA +cosecA​

Answer 1

( Hope this helps)...

Answer 2

Step-by-step explanation:

P.T (sin a + cos a)(tan a + cot a) = sec a + cosec a

LHS  

(sin A + cos A)(sin A / cos A + cos A / sin A)

(sin A + cos A)( sin sq A + cos sq A / cos A sin A)

(sin A + cos A)(1 / cos A sin A)

Seperating, sin A / cos A sin A + cos A / cos A sin A

After Cancelling, 1 / cos A + 1 / sin A

Which is equal to sec A + cosec A (RHS, Proved)