Use your calculator to find sin θ and cos θ if the point is on the terminal side of θ .
A)sin θ = 0.8, cos θ = 0.6
B)sin θ = 0.6, cos θ = 0.8
C)sin θ = 0.6, cos θ = -0.8
D)sin θ = -0.6, cos θ = -0.8
E)sin θ = -0.6, cos θ = 0.8

Question

Use your calculator to find sin  θ  and cos  θ  if the point   is on the terminal side of θ . ​
A)sin θ = 0.8, cos θ = 0.6 
B)sin θ = 0.6, cos θ = 0.8 
C)sin θ = 0.6, cos θ = -0.8 
D)sin θ = -0.6, cos θ = -0.8 
E)sin θ = -0.6, cos θ = 0.8

Quizplus · Accepted Answer

Since we are given a point on the terminal side of θ, we can use the coordinates of the point to find sin θ and cos θ. Using the Pythagorean theorem, we can find the length of the hypotenuse of the triangle formed by the point and the origin: 
√(11^2 + (-15)^2) = √466
Then, sin θ = opposite/hypotenuse = -15/√466 ≈ 0.6 
and cos θ = adjacent/hypotenuse = 11/√466 ≈ 0.8 
Therefore, the best choice is B), sin θ = 0.6 and cos θ = 0.8.

Use Your Calculator to Find Sin θ and Cos θ