MATH 115 Quiz 4 Fall 2017
1.Find the acute angle θ, to the nearest hundredth of a degree, for the given function value.
a. sin θ = 0.6131
Use the appropriate identity to find the indicated function value. No decimal answers.
b) cos θ, if sec θ = –4
c) Find sin θ if cos θ = 2/3 and θ is in quadrant IV.
d) Find cot θ if tan θ =√7
2
and θ is in quadrant III.
Without using a calculator, give the exact trigonometric function values with rational denominators.
i) tan 60°
ii) sin 135°
iii) tan 5π/6
Solve the problem.
2) In one area, the lowest angle of elevation of the sun in winter is 27.3°. Find the minimum distance x that a plant
needing full sun can be placed from a fence that is 5.7 feet high. Round your answer to the tenths place.
a) What arc length corresponds to a radius of 9.5 cm and a central angle of 5
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