AnswersPrecalculusTrigonometric Half Angle Identities

Trigonometric Half Angle Identities Answers

14 verified answers2 views
1
Free Preview

What is the exact value of sin⁡(157.5°)?

A
Negative StartFraction StartStartRoot 2 + StartRoot 2 EndRoot EndEndRoot Over 2 EndFraction
Option A
B
StartFraction StartStartRoot 2 minus StartRoot 2 EndRoot EndEndRoot Over 2 EndFraction
Option B
C
Negative StartFraction StartStartRoot 2 minus StartRoot 2 EndRoot EndEndRoot Over 2 EndFraction
Option C
D
StartFraction StartStartRoot 2 + StartRoot 2 EndRoot EndEndRoot Over 2 EndFraction
Option D
2
Free Preview

cos x ✔ 1 + cos x1 - cos x

A
cos x
B
1 + cos x
C
1 - cos x
3

cos x 1 + cos x ✔ 1 - cos x

A
cos x
B
1 + cos x
C
1 - cos x
4

What is the exact value of ?

Question illustration
A
Option
Option A
B
Option
Option B
C
Option
Option C
D
Option
Option D
5

the square root is negative ✔ the cosine expressions are reversedcosine 330 degrees is one half

A
the square root is negative
B
✔ the cosine expressions are reversed
C
cosine 330 degrees is one half
7

♦: [___]

A
Tangent double-angle identity
B
Tangent half-angle identity
C
Tangent Sum Angle Identity
8

Find the solution(s) to the equation on the interval 0 ≤ x ≤ 2π.Check all that apply.

Question illustration
A
0
B
StartFraction pi Over 3 EndFraction
Option B
C
StartFraction pi Over 6 EndFraction
Option C
D
StartFraction 3 pi Over 2 EndFraction
Option D
E
StartFraction 5 pi Over 3 EndFraction
Option E
10

Which of these expressions is the simplified form of the expression ?

Question illustration
A
StartFraction 1 minus cosine (x) Over sine squared (x) EndFraction
Option A
B
StartFraction 1 Over 1 minus cosine (x) EndFraction
Option B
C
StartFraction 1 Over 1 + cosine (x) EndFraction
Option C
D
StartFraction 1 Over 2 cosine (x) EndFraction
Option D
11

Select the place in which an error first occurs in the proof of .

Question illustration
A
Statement 1
B
Statement 2
C
Justification 1
D
Justification 3
14

cancelation ✔ substitutioncombination

A
cancelation
B
substitution
C
combination

Did you find these answers helpful?