AnswersPrecalculusTrigonometric Half Angle Identities

Trigonometric Half Angle Identities Answers

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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
171927

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
171928

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
171929

What is the exact value of ?

Question illustration
A
Option
Option A
B
Option
Option B
C
Option
Option C
D
Option
Option D
171930

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
171932

♦: [___]

A
Tangent double-angle identity
B
Tangent half-angle identity
C
Tangent Sum Angle Identity
171933

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

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