Question

If tan theta=-2,then find the value of sin theta

Answer 1

Step-by-step explanation:

tanθ = 2

sinθ/cosθ =2

square both side

sin²θ/cos²θ = 4

sin²θ/1 - sin²θ = 4

sin²θ = 4( 1 - sin²θ )

sin²θ = 4 - 4sin²θ

5sin²θ = 4

sin²θ = 4/5

sinθ = 2 /√5