Question

If sin θ = 2 over 7 and tan θ > 0, what is the value of cos θ?

3 square root of 5 over 7

negative 3 square root of 5 over 7

3 square root of 5

negative 3 square root of 5

Answer 1

3 square root of 5 over 7. it's positive answer because both sin and tan are positive meaning they are sitting in the first quadrant were all ∅'s are positive

Explanation:

Answer 2

It's the first choice.

Explanation:

cos θ = √(1 - sin^2 θ ) and cos θ will be positive because sin θ > 0 tan θ > 0. The angle θ will be in the first quadrant.

cos θ = √( 1 - (2/7)^2)

cos θ = √(1 - 4/49) = √(45/49)

cos θ = √9√5 / 7

cos θ = 3√5 / 7.