Question

Does anyone know the answer to this? Algebra 2

I have to find the answers to
Find cos 0
Find tan 0
Find csc 0
Find sec 0
Find cot 0
And what terminal of the angle falls in which quadrant? 1-4?

Answer 1

Explanation:

Sinθ =
`\frac{\text{Opposite side}}{\text{Hypotenuse}}`

If, sinθ = -
`(1)/(2)` and π < θ <
`(3\pi )/(2)`

Since, sinθ is negative, angle θ will be in IIIrd quadrant.

And the measure of angle θ will be (180° + 30°)

θ = 210°

It's necessary to remember that tangent and cotangent of angle θ in quadrant III are positive.

Therefore, cos(210°) =
`-(√(3) )/(2)`

tan(210°) =
`(1)/(√(3) )`

csc(210°) =
`-(1)/(2)`

sec(210°) =
`-(2)/(√(3) )`

cot(210°) = √3