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Trigonometric Difference Identities — Unit test Answers

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Review the incomplete steps in the derivation of the tangent sum identity.Which action can be taken to the expression in Step 3 to give an expression for Step 4?

Question illustration
A
divide both the numerator and denominator by sin(x)sin(y)
B
divide both the numerator and denominator by sin(x)cos(y)
C
divide both the numerator and denominator by cos(x)sin(y)
D
divide both the numerator and denominator by cos(x)cos(y)
24

Let where 0° ≤ x ≤ 180°. What are the possible values for x?

Question illustration
A
45° only
B
135° only
C
45° or 225°
D
135° or 315°
25

Which portion of the unit circle satisfies the trigonometric inequality ? Assume that is the angle made by the positive x-axis and a ray from the origin.

Question illustration
A
all of the unit circle
B
the top half of the unit circle
C
the right half of the unit circle
D
none of the unit circle

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