Question

If cosine theta equals one over six, what are the values of sin θ and tan θ?

Answer 1

• sin θ = (√35)/6
• tan θ = √35

Explanation:

The trig identities are helpful for this.

sin² θ = 1 - cos² θ = 1 -(1/6)² = 35/36

sin θ = (√35)/6 . . . . . . take the square root

__

tan² θ = sec² θ -1 = (1/cos² θ) -1 = 6² -1 = 35

tan θ = √35 . . . . . . . . . take the square root