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
sin2θ = 4/49
From the trigonometric identity sin2θ + cos2θ = 1
So we get,
cos2θ = 1 - sin2θ
cos2θ = 1 - 4/49
cos2θ = 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.
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