Answer question 4 please 4. Rewrite the expression as a function of a positive acute angle (in degrees). DO NOTEVALUATE.(@) tan 285(b) sin 340

Name: Answer question 4 please 4. Rewrite the expression as a function of a
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Description: Answer question 4 please 4. Rewrite the expression as a function of a positive acute angle (in degrees). DO NOTEVALUATE.(@) tan 285(b) sin 340

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Mathematics For Machine Technology

8th Edition

ISBN:9781337798310

Author:Peterson, John.

Publisher:Peterson, John.

Chapter67: Analysis Of Trigonometric Functions

Section: Chapter Questions

Problem 15A: For each exercise, functions of two angles are given. Which of the functions of the two angles is...

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Answer question 4 please

4. Rewrite the expression as a function of a positive acute angle (in degrees). DO NOT
EVALUATE.
(@) tan 285
(b) sin 340

Expert Solution

Step 1

Concept used:

Trigonometric reduction formula:

$\tan (270 ° + α) = - \cot α$

$\sin (360 ° - α) = - \sin α$

(a)

Calculation:

The function $\tan 285 °$ can be expressed as the acute angle function by using trigonometric reduction formula,

$\begin{array}{rcl} \tan 285 ° & = & \tan (270 ° + 15 °) \\ = & - \cot 15 ° \end{array}$

Thus, the function $\tan 285 °$ in the acute angle function is $(- \cot 15 °)$ .

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