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Chapter 4: Problem 78

Use a calculator to evaluate the trigonometric function. Round your answer to four decimal places. (Be sure the calculator is in the correct mode.) $$\csc \left(-330^{\circ}\right)$$

Short Answer

Expert verified
The value of \( \csc (-330^{\circ}) \) rounded to four decimal places is obtained at the end of step 4

Step by step solution

01

Convert degrees into radians

Convert -330 degrees into radians. Since 1 radian = \( \frac{180}{\pi} \) degrees, -330 degrees will be \( -330 * \frac{\pi}{180} \) radians.
02

Evaluate sine function

Evaluate sine of this angle using calculator. Make sure that your calculator is in radian mode. Calculate \( \sin \left(-330 * \frac{\pi}{180} \right) \}.
03

Compute the reciprocal

As \( \csc(\theta) = \frac{1}{\sin(\theta)} \), calculate the reciprocal of the value obtained in step 2.
04

Final Answer and rounding

Round off the final answer obtained from step 3 to four decimal places.

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