Question

find all values of θ in the interval 0° ≤ θ < 360° that satisfy the equation 2(sin θ + csc θ )=5

Answer 1

Hint: csc θ = 1 / sin θ

Answer 2

so plug this into your equation and simplify to get an equation in sin θ

Answer 3

thank you i am solving now, but can you also solve it so we can check if we got the same answer.

Answer 4

is it {30, 150} ?

Answer 5

ok i'll write s for sin

2 ( s + 1/s) = 5

s^2 + 1
------ = 2.5
s

s^2 - 2.5s + 1 = 0

s = 2 or 0.5

s cannot be 2

when sin theta = 0.5 theta is 30 , 150


you are right

Answer 6

THANK YOU SO MUCH!

Answer 7

no probs