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Unformatted text preview: Review – Final (Part II)
Solve the equations:
2log 3 x − log 3 ( x + 4) = log 3 2 Find the angle which lies in [ 0, 2π ) and coterminal with
9π
θ =− .
4 Find the reference angle α for θ = − 13π
.
12 4 x − 2 = 3x +5
Find the length of the arc of the circle with r = 9 ft.
subtended by the central angle θ = 60° . 1 2 The car is moving at 60 km/hr. The diameter of its
wheels is 1 m. Find the number of revolutions per minute
of the rotating wheels. 3 3
3π
θ
If sin θ = − and π < θ < , find tan θ and cos .
2
8
2 4 Find the amplitude, range, period, and phase shift for
π⎞
⎛
y = 1 − 2sin ⎜ −2π x − ⎟
2⎠
⎝ π⎞
⎛
Find the asymptotes the graph of y = tan ⎜ x − ⎟
8⎠
⎝ ⎛ ⎛ 7π
Find: arcsin ⎜ sin ⎜ −
⎝⎝9 5 ⎞⎞
⎟⎟
⎠⎠ 6 Solve the equation on the interval [0,2π ) :
2cos 2 θ − 3sin θ = 3 .
Find all solutions of the equation. 7 A woman on a 40 m tower sees a man at an angle of
depression of 15 ° . How far is the man from the base of
the tower? 8 Shawn Johnson wants to measure the distance across the
Big Muddy River. Find c if a = 3 cm, b = 5 cm, and γ = 120° . If γ = 105° , α = 30° , b = 350 ft., find a. 9 10 Find the angle α and the area of the triangle with a = 13
in., b = 5 in., and c = 10 in. 11 Find the area of the triangle if a = 13 ft., c = 10 ft., and
β = 30° . 12 ...
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 Summer '08
 GERMAN
 Calculus, Equations

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