Question

prove that ( sin a + cos a) (tan a + cot a ) = sec a + cosec a​

Answer 1

Answer:

hello

Step-by-step explanation:

LHS = (sin a +cos a) (tan a + cot a)

= (sin a +cos a) (sin a + cos a) by (cos a +sin a)

= (sin a +cos a) (sin 2 a +cos 2 a) by  (sin a. cos a)

(sin a + cos a) x 1 by sin a .cos a

sin a by sin. a +cos .a +cos a by  sin. a + cos .a

=1 by cos A +1 by sin a

= sec a + cosec a

RHS