Question

Find an angle θ with 0∘<θ<360∘ that has the same:

Sine function value as 210∘
θ = _____ degrees

Cosine function value as 210∘
θ = ______ degrees

Answer 1

The angle with the same sine value as 210 degrees is 150 degrees, while there is no angle with the same cosine value as 210 degrees.

Step-by-step explanation:

To find an angle with the same sine function value as 210 degrees, we can use the inverse sine function. The inverse sine of 1 is 90 degrees, so the angle that has the same sine value as 210 degrees is 150 degrees. Therefore, theta is equal to 150 degrees.

To find an angle with the same cosine function value as 210 degrees, we can use the inverse cosine function. The inverse cosine of 210 degrees is not defined since the cosine function only takes values between -1 and 1. Therefore, there is no angle theta that has the same cosine value as 210 degrees.

Answer 2

sin theta = -0.5 degrees

cos theta=-0.86 degrees

hope it helped