# If sinθ = 2 over 7 and tanθ > 0, what is the value of cosθ?

**Solution:**

Given: sinθ = 2 over 7 and tanθ > 0 hence, cosθ will also be positive.

sinθ = 2/7

By squaring on both sides

sin^{2}θ = 4/49

From the trigonometric identity sin^{2}θ + cos^{2}θ = 1

So we get,

cos^{2}θ = 1 - sin^{2}θ

cos^{2}θ = 1 - 4/49

cos^{2}θ = 45/49

cosθ = √45/7

Therefore, the value of cosθ is √45/7.

## If sinθ = 2 over 7 and tanθ > 0, what is the value of cosθ?

**Summary:**

If sinθ = 2 over 7 and tanθ > 0, then the value of cosθ is √45/7.

Math worksheets and

visual curriculum

visual curriculum