Question

Prove: cot x cos x + sin x = csc x

I believe I start with left side:

cos/ sin * cos + sin ...but what next

Answer 1

add

Answer 2

you have \[\frac{\cos^2(x)}{\sin(x)}+\sin(x)\] on the left
add them

Answer 3

do i need to multiply both sides by 1/sin so they have same denominator?

Answer 4

before i add

Answer 5

No. Just work on the left side of the identity.
Multiply \(\sin x\) by \(\dfrac{\sin x}{\sin x} \) to have a common denominator.
Then add the two fractions on the left side together.
Then pay close attention to the numerator after you add the fractions.

Answer 6

thanks i got it!