Unit Test — Unit test Answers

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A student uses the following steps to prove the sine sum identity. The proof is incorrect.Which step is incorrect?

Question illustration
A
Step 2
B
Step 3
C
Step 4
D
Step 5
22
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Suppose and cos(x) < 0. What is the value of cos(2x)?

Question illustration
A
Negative StartFraction 14 Over 25 EndFraction
Option A
B
Negative StartFraction 7 Over 25 EndFraction
Option B
C
StartFraction 7 Over 25 EndFraction
Option C
D
StartFraction 14 Over 25 EndFraction
Option D
23

Which expression is equivalent to sin(84°)cos(43°) + cos(84°)sin(43°)?

A
sin(41°)
B
cos(41°)
C
sin(127°)
D
cos(127°)
24

Given: cos(3x – 180°) = , where 0 ≤ x < 180°Which values represent the solutions to the equation?

Question illustration
A
{10°, 110°, 130°}
B
{20°, 100°, 140°}
C
{30°, 330°, 390°}
D
{60°, 300°, 420°}
25

Which steps can be used to verify that tan(w + ) = tan(w)?

Question illustration
A
Rewrite tan(w + ) as tan(w) + tan(). Then simplify the expression using tan() = 1.
Option A
B
Rewrite tan(w + ) as tan(w) + tan(). Then simplify the expression using tan() = 0.
Option B
C
Rewrite tan(w + ) using the tangent sum identity. Then simplify the resulting expression using tan() = 1.
Option C
D
Rewrite tan(w + ) using the tangent sum identity. Then simplify the resulting expression using tan() = 0.
Option D

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