for which value of 0 is tan0 equal to sin0?

Question

for which value of 0 is tan0 equal to sin0?

A)pi/3
B)2pi
C)3pi/2
D)pi/2

Answer 1

sin π/2 = 1

tan π/2 is undefined

Answer 2

I apologize for the mistake in my previous response. Thank you for pointing that out.

The correct answer is that there is no value of \( \theta \) where \( \tan(\theta) = \sin(\theta) \). This is because \( \tan(\theta) = \frac{\sin(\theta)}{\cos(\theta)} \), so they are only equal when \( \cos(\theta) = 1 \) (which would make \( \tan(\theta) = 0 \)).

Answer 3

so, B -- any multiple of π

Answer 4

for which value of 0 is tan0 equal to sin0?

sin π/2 = 1

I apologize for the mistake in my previous response. Thank you for pointing that out.

so, B -- any multiple of π

Yes, that is correct. The correct answer is any multiple of \( \pi \) where \( \theta \) represents the angle in radians. Thus, B) 2π is the answer.

D) pi/2