23. In a right triangle, 0 is an acute angle and cos 8 =. Evaluate the other five trigonometricfunctions of 0.24. Identify the amplitude and period of each function.a. g(x)= 2 sin xb. g(x) = 4 cos xc. g(x) = sin 2xd. g(x) = 3 cos ax25. The top of a lighthouse is 120 meters above sea level. The angle of depression from thetop of the lighthouse to a ship is 23°. How far is the ship from the base of the lighthouse? Drawand label a sketch to support your problem.You are standing at the base of the Eiffel Tower.You look up at the top of the tower at an angleof 36°. The Eiffel Tower is about 324 meterstall. How far away from the Eiffel Tower are you26.324 mstanding? Round your answer to the nearest meter.36°1.5 mIINot drawn to scale.Copyright © Big Ideas Learning, LLCAll rights reserved.Integrated Mathematics III119

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Answered: In a right triangle, 0 is an acute…

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Calculus

In a right triangle, 0 is an acute angle and cos e = Evaluate the other five trigonometric functions of 6.

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter7: Analytic Trigonometry

Section7.4: Multiple-angle Formulas

Problem 72E

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Concept explainers

Ratios

A ratio is a comparison between two numbers of the same kind. It represents how many times one number contains another. It also represents how small or large one number is compared to the other.

Trigonometric Ratios

Trigonometric ratios give values of trigonometric functions. It always deals with triangles that have one angle measuring 90 degrees. These triangles are right-angled. We take the ratio of sides of these triangles.

Question

23. In a right triangle, 0 is an acute angle and cos 8 =. Evaluate the other five trigonometric
functions of 0.
24. Identify the amplitude and period of each function.
a. g(x)
= 2 sin x
b. g(x) = 4 cos x
c. g(x) = sin 2x
d. g(x) = 3 cos ax
25. The top of a lighthouse is 120 meters above sea level. The angle of depression from the
top of the lighthouse to a ship is 23°. How far is the ship from the base of the lighthouse? Draw
and label a sketch to support your problem.
You are standing at the base of the Eiffel Tower.
You look up at the top of the tower at an angle
of 36°. The Eiffel Tower is about 324 meters
tall. How far away from the Eiffel Tower are you
26.
324 m
standing? Round your answer to the nearest meter.
36°
1.5 mII
Not drawn to scale.
Copyright © Big Ideas Learning, LLC
All rights reserved.
Integrated Mathematics III
119

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