Question

Verify the identity

Answer 1

I know I would start by combining the fractions on the left right?

Answer 2

Yes. Do that.

Answer 3

I can help you. just a sec. I need to solve it

Answer 4

Okay thank you so much

Answer 5

@dtuniyants We're actually meant to tutor a person to the solution, and not solve a problem and spoon feed them the answer. :P

Answer 6

first, write the left part of identity as one fraction\[((\cos^2x)+(1+sinx)^2)/((1+sinx)*cosx)\]

Answer 7

@Isaiah.Feynman I'm solving and tutoring the person to solution. Don't say things before you are sure that it is so!

Answer 8

So to combine the two fractions, we would literally just be putting them together? And then we simplify?

Answer 9

After that use FOIL to reduce parathenthles:
Yes we need to simplify\[(\cos^2x+\sin^2x+2sinx+1)/((sinx+1)*cosx)\]