Question

If the sinø=7/12, what is cosø?

Answer 1

Sine and cosine

The sine and cosine are the basic trigonometric functions.

The sine is positive in the first and second quadrant

The cosine is positive in the first and fourth quadrant

We'll assume the angle is in the first quadrant, so the cosine and the sine are positive

The basic identity that relates the sine and the cosine of a given angle is:

`\sin ^2\varnothing+\cos ^2\varnothing=1`

If we are given the sine of the angle:

`\sin \varnothing=(7)/(12)`

The cosine can be calculated by solving the above identity for the cosine: