Quiz (Introducing the Trigonometric Functions)

Show all work and justify each step.

(1) Suppose is an angle of a right triangle, is the length of the side adjacent to and is the length of the hypotenuse. Find the values of the six trigonometric functions for the angle in terms of and

(2) Find the exact values of the trigonometric functions for the acute angle given

(3) Simplify and

(4) Simplify the expression

(5) Write the first expression in terms of the second, for any acute angle:

    (a)
    
    (b)

(6) For all values θ, verify

(7) Find the value of the six trigonometric functions given and

(8) The terminal side of angle passes through the intersection point of the given curves. Find the trigonometric functions of if they exist.

    (a) and
    
    (b) and

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Cite this as:
Introducing The Trigonometric Functions Quiz
Published by Library of Math -- Online math organized by subject into topics.
Written by Smith, David A.
http://www.libraryofmath.com/introducing-the-trigonometric-functions-quiz.html