3
ALMultiple Choice

Sum and Difference Identities

Question 3 • IC Pre-Cal - Deering

Which expression is equal to sin 75°?

Answer
A
sin 135° cos 60° – cos 135° sin 60°
B
cos 135° cos 60° + sin 135° sin 60°
C
sin 135° cos 60° + cos 135° sin 60°
D
cos 135° cos 60° – cos 135° cos 60°

Explanation

Use the identity sin(a − b) = sin a cos b − cos a sin b. Since 135° − 60° = 75°, we have sin 75° = sin 135° cos 60° − cos 135° sin 60°. This matches choice A.

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