 # Online Trigonometry Class Final Exam Complete Solutions

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Online Trigonometry Final Exam Name:___________________
Directions: You may use your textbook, notes and calculator to complete this test. The time limit for this exam is 2 hours. This test must be completed and returned by Monday, December 12, 2011 along with your completed course project.

Evaluate the following using the Unit Circle:
sin 7p/6=

cos 135°=

cot 180°=

Use your calculator to evaluate the following:
sin 78°=

sec 4.6=

tan 15°=

Complete the following Pythagorean Identity: ?sec?^2 ?= ____________________

List the Power Reducing Formulas for sine and cosine.

Simplify the following trig expression completely: sin x-sin x ?cos?^2 x

Use the difference formula for Sine to simplify the following expression completely:
sin(x- p/2)

Find two values of ? between 0 and 360 degrees such that cos ?= 1/2 .

Find two values of ? between 0 and 360 degrees such that tan ?=5.1258 .

Find the distance across the swamp by solving problem 41 on page 213.

Find the exact value of d for the triangle shown on page 213, problem number 42.

Prove the following identity: cos x+sin x tan x=sec x

Solve the following equation for all solutions in the interval [0°,360°]:
2?sin?^2 x-5 sin x-3=0

Solve the following equation for all solutions in the interval [0°,360°]:
?cos?^2 x+sin x=1

(14)
Given a triangle with angle A=20°, angle C=110°, and side a=5 units, use the Law of Sines to find the length of side b.

(15)
Use the Law of Cosines to find angle A for a triangle with sides a=55,b=25 and
c = 72.

The answer for the last question i.e. question 15 is given below. If you wish to see fully worked out step by step solutions for the all the question problems, please purchase the full solutions.

(15)
Use the Law of Cosines to find angle A for a triangle with sides a=55,b=25 and
c = 72.

A=39.35.

Other Details about the Project/Assignment
Subjects: Mathematics -> Trigonometry
Topic: Trigonometry Final Exam for an Online Class
Level: College / University
Tags:

### Online Trigonometry Class, Final Exam, Complete Solutions

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Project Details
Subjects: Mathematics -> Trigonometry
Topic: Trigonometry Final Exam for an Online Class
Level: College / University
Tags:

## Online Trigonometry Class, Final Exam, Complete Solutions

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