5
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Trigonometric Sum Identities

Question 5 • Precalculus

Examine the following steps. Which do you think you might use to prove the identity Check all that apply.Write tan(x + y) as sin (x + y) over cos(x +y).Use the sum identity for sine to rewrite the numerator.Use the sum identity for cosine to rewrite the denominator.Divide both numerator and denominator by cos(x)cos(y).Simplify fractions by dividing out common factors or using the tangent quotient identity.

Question illustration
Answer
A
Write tan(x + y) as sin (x + y) over cos(x +y).
B
Use the sum identity for sine to rewrite the numerator.
C
Use the sum identity for cosine to rewrite the denominator.
D
Divide both numerator and denominator by cos(x)cos(y).
E
Simplify fractions by dividing out common factors or using the tangent quotient identity.
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