What are the values of sine, cosine, and tangent of θ = 7 pi over 4 radians?

Solution:

It is given that

θ = 7 pi over 4 radians

We can write it as

θ = 7π/4

We have to find the values of sine and cosine

θ = 7π/4 lies between 3π/2 and 2π which is in the IV quadrant

We know that

In IV quadrant cos and secant are positive

Tangent and sine are negative

The principal value here is π/4 and tan π/4 = 1

So we get

sin θ = -√2/2

cos θ = √2/2

tan θ = -1

Therefore, the values of sine, cosine, and tangent are -√2/2, √2/2 and -1.

---

What are the values of sine, cosine, and tangent of θ = 7 pi over 4 radians?

Summary:

The values of sine, cosine, and tangent of θ = 7 pi over 4 radians are -√2/2, √2/2 and -1.