AnswersPrecalculusAngles and Trigonometric Functions

Angles and Trigonometric Functions — Quiz Answers

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Which equation can be used to prove 1 plus tangent squared of x is equal to secant squared of x ?

A
cosine squared of x over secant squared of x plus sine squared of x over secant squared of x is equal to 1 over secant squared of x
B
cosine squared of x over sine squared of x plus sine squared of x over sine squared of x is equal to 1 over sine squared of x
C
the fraction with numerator cosine squared x and denominator tangent squared of x plus sine squared of x over tangent squared of x is equal to 1 over tangent squared of x
D
cosine squared of x over cosine squared of x plus the fraction with numerator mathrm sine squared x and denominator cosine squared of x is equal to 1 over cosine squared of x
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Suppose tangent of x is equal to 2 thirds , and the terminal side of x is located in quadrant I. What is sine of x ?

A
the fraction with numerator 3 and denominator square root of 13
B
3 halves
C
the fraction with numerator 2 and denominator square root of 13
D
the fraction with numerator square root of 13 and denominator 2
3

In which quadrant(s) are tangent of x and sine of x both negative?

A
quadrant II
B
quadrants II and III
C
quadrants III and IV
D
quadrant IV
6

How many degrees is negative pi over 8 radians?

A
negative 12.5 degrees
B
negative 45 degrees
C
negative 11.25 degrees
D
negative 22.5 degrees
7

How many radians is 105 degrees ?

A
7 pi over 12 radians
B
21 pi over 20 radians
C
7 pi over 24 radians
D
7 pi over 6 radians
9

Which expression is equal to negative 1 ?

A
tangent 5 pi over 4
B
sine 3 pi over 2
C
cotangent pi over 4
D
sine pi over 2
10

Which expression has the same value as tangent of open paren negative 45 degrees close paren ?

A
negative sine times open paren 270 degrees close paren
B
negative cosine times open paren 180 degrees close paren
C
cotangent of open paren 135 degrees close paren
D
tangent of open paren 45 degrees close paren

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