117k views
4 votes
Can someone please help me verify each identity, i dont know how

Can someone please help me verify each identity, i dont know how-example-1
User Karoll
by
8.6k points

1 Answer

4 votes

Answer:

see explanation

Explanation:

using the trigonometric identities

I have used x instead of theta

• sin²x + cos²x = 1

• secx =
(1)/(cosx) and tanx =
(sinx)/(cosx)

consider the left side


(sinx)/(cosx) +
(cosx)/(1+sinx)

Combine the fractions


(sinx(1+sinx)+sos^2x)/(cosx(1+sinx))

=
(sinx+sin^2x+cos^2x)/(cosx(1+sinx))

=
(1+sinx)/(cosx(1+sinx))

=
(1)/(cosx) = secx = right side → verified


User Theja
by
8.9k points

No related questions found

Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

9.4m questions

12.2m answers

Categories