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�

12

? Round to the nearest hundredth of a cm

Simplify the expression completely.

b)

10���3�

���2� ÷

5����

����

c) ���2�−2 cos �−8

cos �−4

d)Find the amplitude, period or phase shift.

i) Find the amplitude of y = 5 cos (x – π).

ii) Find the period of y = 2 cos (2x + π/3).

iii) Find the phase shift of y = -4 + 3sin (5x – π/6)

iv) Find ���−1(−1

2

) exactly in degrees.

e) Find tan 2θ, cos 2θ, and sin θ/2 where cos θ = -3/5 and θ is in quadrant III.

Solve, finding all solutions in [0, 2π) or [0°, 360°).

i) 2 cos(�) = 6 cos(�) − √12

ii) cos 2x – cos x – 2 = 0