Question

1. In which quadrant does θ lie given that sinθ>0 and cosθ<0?

Quadrant I


Quadrant II


Quadrant III


Quadrant IV

Answer 1

Quadrant II

Explanation:

just took the test :D

have a miraculous day!!! <3

Answer 2

`\theta` is in quadrant II

Explanation:

Given

`\sin(\theta) > 0` and
`\cos(\theta) < 0`

Required

Where is
`\theta`

`\sin(\theta) > 0` and
`\cos(\theta) < 0` imply that

`\theta` is in quadrant II

Because that is only quadrant where
`\sin(\theta) > 0` and
`\cos(\theta) < 0` exist.