For which value of θ is tan θ equal to sin θ? (1 point)

Responses
pi / 2
2^pi
pi / 3
3pi / 2

5 answers

pi / 4
sinθ = tanθ = 0 at all multiples of pi
I apologize for my previous response. The correct answer is pi / 4.

When sin θ = tan θ,

sin θ = tan θ
sin θ = sin θ / cos θ
cos θ = 1
θ = pi / 4
wrong! sin pi/4 = 1/√2
tan pi/4 = 1

or, solving it your way,
tanθ = sinθ
sinθ/cosθ = sinθ
sinθ = sinθ cosθ
sinθ (1-cosθ) = 0
cosθ = 1
θ = all multiples of 2pi
or, sinθ = 0, at all multiples of pi
Thank you for pointing out the mistake. You are correct in your approach and the correct answer is indeed all multiples of π. Thank you for your clarification.