08_4258_Key

# 08_4258_Key - MAC 1147(4258 Quiz#8 Name Key For full credit...

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Unformatted text preview: MAC 1147 (4258) - Quiz #8 Name: Key For full credit, you must show all work and circle your ﬁnal answer. 1 (1 point) In each group of two statements, circle the one that is always true. cos(−t) = cos(t) cos(−t) = − cos(t) sin(−t) = sin(t) sin(−t) = − sin(t) cos(−t) = cos(t) sin(−t) = − sin(t) cot(−t) = cot(t) cot(−t) = − cot(t) cot(−t) = − cot(t) (2 points) If csc θ = 5, and θ is an acute angle, ﬁnd the exact value of 1 + cot2 θ + 1 + cot2 θ = √ csc2 θ = csc θ, So, 1 + cot2 θ + 1 cos θ + . cot θ 1 − cos2 θ cos θ cos θ = = sin θ, cot θ (cos θ )/(sin θ ) 1 1 1 cos θ + = 5 + + 25 = 30 + = 2θ cot θ 1 − cos 5 5 = 30.2 = 3 1 1 = = csc2 θ. 2θ 1 − cos sin2 θ 151 5 (2 points) Find the value of the six trigonometric functions of θ with the given constraint: csc θ = 4, cot θ < 0. sin θ = 4 1 θ √ − 15 1 4 csc θ = 4 √ 15 cos θ = − 4 4 sec θ = − √ 15 1 tan θ = − √ 15 √ cot θ = − 15 University of Florida Honor Code: On my honor, I have neither given nor received unauthorized aid in doing this assignment. Signature ...
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