Question

Given tan θ = −1 and 90 ≤ θ ≤ 180°, what is csc θ? (2 points)

1
2
radical 2
2 times radical 3 over 3

Answer 1

Answer:22

Step-by-step explanation:Do the math then do more math

Answer 2

`√(2)`

Explanation:

if tan(θ) = -1, then θ = 135° or 315°.

Because theta is bound by 90 and 180 degrees, θ = 135°.

csc (θ) = 1 / sin(θ)

sin (θ) = sin (135°) =
`(√(2) )/(2)`

Because cosecant is the reciprocal of sine, our answer is
`(2√(2) )/(2)`, or
`√(2)`.