How can I use the angle sum and difference identities to simplify the expression sin(75°)cos(15°) + cos(75°)sin(15°)?
Answer 1
Cody Brown
You can use the angle sum identity for sine, which states that sin(A + B) = sin(A)cos(B) + cos(A)sin(B). Here, A = 75° and B = 15°, so the expression sin(75°)cos(15°) + cos(75°)sin(15°) simplifies to sin(90°), which equals 1.
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