If sin θ = 2 / 7 and tan θ > 0, what is the value of cos θ?
We will use the concept of trigonometry in order to find the value of cos θ.
Answer: cos θ = 3√5 / 7
Let us see how we will use the concept of trigonometry in order to find the value of cos θ.
Explanation:
It is given that sin θ = 2 / 7 and tan θ > 0 hence, cos θ will also be positive.
Now, sin θ = 2 / 7
Squaring both sides, we get,
sin2 θ = 4 / 49
1 - cos2 θ = 4 / 49
cos2 θ = 1 - 4 / 49
cos2 θ = 45 / 49
cos θ = √45 / 7