AnswersGeometryEvaluating the Six Trigonometric Functions

Evaluating the Six Trigonometric Functions — Quiz Answers

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1
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Which Pythagorean identity is correct?

A
1 minus cosine squared of theta is equal to tangent squared of theta
B
tangent squared of theta plus 1 is equal to secant squared of theta
C
sine squared of theta plus 1 is equal to cosine squared of theta
D
1 minus cotangent squared of theta is equal to cosecant squared of theta
2
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If tangent theta is equal to negative 3 eighths , which expression is equivalent to cotangent theta ?

A
square root of 1 plus open paren negative 8 thirds close paren squared end root
B
1 over negative 3 eighths
C
open paren negative 3 eighths close paren squared plus 1
D
negative 3 eighths plus 1
4

Based on Pythagorean identities, which equation is true?

A
cotangent squared theta minus cosecant squared theta is equal to negative 1
B
negative cosine squared theta minus 1 is equal to negative sine squared theta
C
sine squared theta minus 1 is equal to cosine squared theta
D
secant squared theta minus tangent squared theta is equal to negative 1
5

Given that sine theta is equal to 21 over 29 , what is the value of cosine theta , for 0 degrees is less than theta comma theta is less than 90 degrees ?

A
square root of 20 over 29 end root
B
negative 20 over 29
C
negative square root of 20 over 29 end root
D
20 over 29
10

Fatima wants to find the value of sine theta , given cotangent theta is equal to 4 sevenths Which identity would be best for Fatima to use?

A
cosecant theta is equal to r over y
B
cosine theta is equal to 1 over secant theta
C
1 plus cotangent squared theta is equal to cosecant squared theta
D
sine squared theta plus cosine squared theta is equal to 1

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