Answers PrecalculusTrigonometric Difference Identities

Trigonometric Difference Identities Answers

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Step 1:

Cofunction identity

Definition of sine

Distributive property

Cosine difference identity

Step 5:

Cosine function is an even function

Cosine difference identity

Sine function is an odd function

Cofunction Identity

Step 6:

Cosine function is an even function

Trigonometric difference identity

Sine function is an odd function

Cofunction Identity

Step 7:

Cosine function is even, sine function is odd.

Trigonometric difference identity

Cofunction identity

1. identity

Cofunction

Quotient

Reciprocal

Given sin(u) = and cos(v) = , what is the exact value of cos(u-v) if both angles are in quadrant III?

Option

2. Trigonometric identities

difference

quotient

sum

3. Divide numerator and denominator by

cos(x)sin(y)

cos(x)cos(y)

sin(x)cos(y)

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