Question

Prove that sin theta into [1 + tan theta ]+ cos theta into[ 1 + cos theta ]equal to sec theta + cosec theta

Answer 1

Answer:

Step-by-step explanation:

L.H.S

sin 0 + sin 0 tan 0 + cos 0 + cos 0 cot 0

sin 0 +sin 0* sin 0/cos0 + cos 0 + cos 0 * cos 0/sin 0

sin 0+ sin^2 0/cos 0 + cos 0 + cos ^2 0/sin 0

sin ^2 0+ cos ^2 0/ sin 0 +cos ^2 0 + sin ^2 0/cos 0

1/sin 0 + 1/ cos 0

R.H.S

1/sin 0 + 1/cos 0