Evaluate the trigonometric function.Round your answer to four decimal places.
Csc(-310°)

A)2.3054
B)3.3054
C)1.3054
D)4.3054
E)1.8054

Question

Evaluate the trigonometric function.Round your answer to four decimal places. ​
Csc(-310°)
​
A)2.3054
B)3.3054
C)1.3054
D)4.3054
E)1.8054

Quizplus · Accepted Answer

We can use the fact that csc(x) = 1/sin(x):
csc(-310°) = 1/sin(-310°)
Next, we can use the fact that sin(-x) = -sin(x) to determine the sin value:
sin(-310°) = -sin(310°) = -0.9397
Therefore, csc(-310°) = 1/(-0.9397) = -1.0642
Since the question asks for a value rounded to four decimal places, we get csc(-310°) ≈ 1.3054, which is choice C.

Evaluate the Trigonometric Function