Find sin y if sec y = square root of 30/5 and tan y < 0

Question

find sin y if sec y = square root of 30/5 and tan y < 0. thx

Answer 1

If sec = √30/5, cos = 5/√30 or √30/6

tan is negative, so sin is negative.

Then, sin is - √(1 - cos²) = -√(36-30)/6 = -√6/6