for which value of 0 is tan0 equal to sin0?
A)pi/3
B)2pi
C)3pi/2
D)pi/2
5 answers
D) pi/2
sin π/2 = 1
tan π/2 is undefined
tan π/2 is undefined
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 \( \tan(\theta) = 0 \)).
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 \( \tan(\theta) = 0 \)).
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.
1 answer