Question

Angle θ is in standard position. If sin(θ)= -1/3 and pi<θ<3pi/2, find cos(θ)

Answer 1

Its a on edge

Explanation:

Answer 2

If
`\pi<\theta<\frac{3\pi}2`, then
`\cos\theta<0`. By the Pythagorean theorem, we then have


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

`\implies\cos\theta=-√(1-\sin^2\theta)`

`\implies\cos\theta=-\frac{2\sqrt2}3`