Answers2627 ALGEBRA II AFunction Operations

Reciprocal Trigonometric Functions Answers

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Which equation finds the value of x in the triangle below?

Question illustration
A
Cotangent 70 degrees = StartFraction x Over 12 EndFraction
Option A
B
Cotangent 70 degrees = StartFraction 12 Over x EndFraction
Option B
C
Secant 20 degrees = StartFraction x Over 12 EndFraction
Option C
D
Secant 20 degrees = StartFraction 12 Over x EndFraction
Option D
2
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When csc()sin() is simplified, what is the result?

Question illustration
A
StartFraction 1 Over cosecant squared EndFraction
Option A
B
StartFraction 1 Over sine squared EndFraction
Option B
C
0
D
1
3

What is the exact value of ?

Question illustration
A
Negative StartRoot 3 EndRoot
Option A
B
Negative StartFraction StartRoot 3 EndRoot Over 3 EndFraction
Option B
C
StartFraction StartRoot 3 EndRoot Over 3 EndFraction
Option C
D
StartRoot 3 EndRoot
Option D
4

If cot = , what is the value of csc ?

Question illustration
A
StartFraction StartRoot 13 EndRoot Over 3 EndFraction
Option A
B
Three-halves
Option B
C
StartFraction StartRoot 13 EndRoot Over 2 EndFraction
Option C
D
Eleven-thirds
Option D
5

In , , , and . Which ratios are correct?

Question illustration
A
, , and
Option A
B
, , and
Option B
C
, , and
Option C
D
, , and
Option D
6

Which of the following is a simpler form of the expression ?

Question illustration
A
sec
Option A
B
cos
Option B
C
csc
Option C
D
tan
Option D
7

What is the exact value of cos(–60º)?

A
Negative StartFraction StartRoot 3 EndRoot Over 2 EndFraction
Option A
B
Negative one-half
Option B
C
One-half
Option C
D
StartFraction StartRoot 3 EndRoot Over 2 EndFraction
Option D
8

Four students wrote statements about cosecant, secant, and cotangent values as shown below.AnikThe cosecant, secant, and cotangent of an acute angle may be greater than 1 or less than 1.IsabellaThe cosecant, secant, and cotangent of an acute angle are always greater than 1.KaylaThe cosecant and secant of an acute angle are always greater than 1, but the cotangent can be greater than 1, less than 1 or equal to 1.MorrisThe cosecant and secant of an acute angle may be greater than or equal to 1, but the cotangent of an acute angle is always less than 1.Which student is correct?

A
Anik
B
Isabella
C
Kayla
D
Morris
9

Which results from multiplying the six trigonometric functions?

A
–3
B
–1
C
1
D
3
10

Which function is undefined when radians?

Question illustration
A
cos
Option A
B
cot
Option B
C
csc
Option C
D
tan
Option D

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