Question

Find sinФ if cosФ = √17/9

Answer 1

8/9.

Explanation:

We can use the following trig identity to do this:

cos^2 Ф + sin^2 Ф = 1

sin^2 Ф = 1 - cos^2 Ф

= 1 - (√17/9)^2

= 1 - 17/81

= 81/81 / 17/81

= 64/81

So sin Ф = √(64/81)

= 8/9 (answer).