Question

Write the first trig function in terms of the second. sinx;cosx
I don't understand the steps to get a final answer.

Answer 1

hint:

\[\Large \sin^2(x) + \cos^2(x) = 1\]

Answer 2

do you see how to isolate sin(x)?

Answer 3

Do I subtract cos?

Answer 4

good first step, then what

Answer 5

doing that will give you


\[\Large \sin^2(x) + \cos^2(x) = 1\]


\[\Large \sin^2(x) = 1 - \cos^2(x)\]


what do we need to do next to isolate sin(x)?

Answer 6

square root both sides?

Answer 7

very good

Answer 8

\[\Large \sin^2(x) + \cos^2(x) = 1\]


\[\Large \sin^2(x) = 1 - \cos^2(x)\]


\[\Large \sin(x) = \sqrt{1 - \cos^2(x)}\]

Answer 9

so that would be the final answer?

Answer 10

yes it would