If cos θ = 2/9, and θ is in the fourth quadrant, what is cot θ? a) - √77 / 77 b) - 2/9 c) - 2√77 / 77 d) - 9√77 / 77

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter1: Fundamental Concepts Of Algebra
Section1.1: Real Numbers
Problem 45E
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If cos θ = 2/9, and θ is in the fourth quadrant, what is cot θ?

a) - √77 / 77

b) - 2/9

c) - 2√77 / 77

d) - 9√77 / 77

 

If sin θ = 15/17, and θ is in the third quadrant, what is tan θ?

a) 8/15

b) - 8/15

c) 15/8

d) - 15/8

 

Which of the following has an amplitude equal to 2?

a) f(x) = sin 2x

b) f(x) = 2 tan 2x

c) f(x) = 2 csc x

d) f(x) = -2 cos 2x

 

Which of the following has a period equal to ℼ/2 ?

a) f(x) = sin 2x

b) f(x) = 2 tan 2x

c) f(x) = 2 csc x

d) f(x) = -2 cos 2x

 

Which of the following statements is not true about the graph of the function  f(x) = -2 cos [ 1/2 (x + ℼ/2) ] - 3?

a) The amplitude is 2

b) The period is 4ℼ

c) The domain is the set of all real numbers

d) The range is the interval [ 4 , 8 ]

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