Evaluation

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Mostly mechanical problems consisting of function evaluation, based either on angle or on terminal point. Start here if you need practice just knowing what the evaluation of the trig functions is for a given angle.

As a general rule, since this is a review assignment, you should probably do this several times before you actually take the exam. The actual goal of this is to make sure that you can pinpoint the spots where you are not as prepared as you should be going in. Doing this exactly once will probably not be as helpful as you would like it to be unless you sit down, do all of them perfectly on the first try AND the actual longest part of the experience is putting in your answer.

1 :

Evaluate each of the six trigonometric functions at the angle given in radians. If the function evaluation does not exist enter ‘DNE’.

$\sage {p1disp1}=\answer {\sage {p1ans1}}$ $\sage {p1disp2}=\answer {\sage {p1ans2}}$ $\sage {p1disp3}=\answer {\sage {p1ans3}}$ $\sage {p1disp4}=\answer {\sage {p1ans4}}$ $\sage {p1disp5}=\answer {\sage {p1ans5}}$ $\sage {p1disp6}=\answer {\sage {p1ans6}}$

2 :

Evaluate each of the six trigonometric functions at the angle given in degrees. If the function evaluation does not exist enter ‘DNE’.

$\sage {p2disp1}=\answer {\sage {p2ans1}}$ $\sage {p2disp2}=\answer {\sage {p2ans2}}$ $\sage {p2disp3}=\answer {\sage {p2ans3}}$ $\sage {p2disp4}=\answer {\sage {p2ans4}}$ $\sage {p2disp5}=\answer {\sage {p2ans5}}$ $\sage {p2disp6}=\answer {\sage {p2ans6}}$

3 :

Evaluate each of the six trigonometric functions at the angle given in radians. If the function evaluation does not exist enter ‘DNE’.

$\sage {p3disp1}=\answer {\sage {p3ans1}}$ $\sage {p3disp2}=\answer {\sage {p3ans2}}$ $\sage {p3disp3}=\answer {\sage {p3ans3}}$ $\sage {p3disp4}=\answer {\sage {p3ans4}}$ $\sage {p3disp5}=\answer {\sage {p3ans5}}$ $\sage {p3disp6}=\answer {\sage {p3ans6}}$

4 :

Evaluate each of the six trigonometric functions at the angle given in degrees. If the function evaluation does not exist enter ‘DNE’.

$\sage {p4disp1}=\answer {\sage {p4ans1}}$ $\sage {p4disp2}=\answer {\sage {p4ans2}}$ $\sage {p4disp3}=\answer {\sage {p4ans3}}$ $\sage {p4disp4}=\answer {\sage {p4ans4}}$ $\sage {p4disp5}=\answer {\sage {p4ans5}}$ $\sage {p4disp6}=\answer {\sage {p4ans6}}$

5 : Let $\eta$ be an angle whose terminal point is $\Big (\frac {\sage {p5}}{\sage {q5}}, \frac {\sage {y5}}{\sage {q5}}\Big )$ . Evaluate the following.

(a): $\sin (\eta )=\answer {\sage {ans5a}}$
(b): $\cos (\eta )=\answer {\sage {ans5b}}$
(c): $\tan (\eta )=\answer {\sage {ans5c}}$
(d): $\csc (\eta )=\answer {\sage {ans5d}}$
(e): $\sec (\eta )=\answer {\sage {ans5e}}$
(f): $\cot (\eta )=\answer {\sage {ans5f}}$

6 : Let $\eta$ be an angle whose terminal point is $\Big (\frac {\sage {p6}}{\sage {q6}}, \frac {\sage {y6}}{\sage {q6}}\Big )$ . Evaluate the following.

(a): $\sin (\eta )=\answer {\sage {ans6a}}$
(b): $\cos (\eta )=\answer {\sage {ans6b}}$
(c): $\tan (\eta )=\answer {\sage {ans6c}}$
(d): $\csc (\eta )=\answer {\sage {ans6d}}$
(e): $\sec (\eta )=\answer {\sage {ans6e}}$
(f): $\cot (\eta )=\answer {\sage {ans6f}}$