Question

Sin38°⋅cos15°−cos38°⋅sin15°

Answer 1

Sin38⁰ * Cos15⁰ - Cos38⁰ * Sin15⁰  = Sin(38⁰ - 15⁰) = Sin23⁰

Answer 2

Упростим выражение:
sin(38-15)
Найдём значение в скобках
sin(23)

Answer 3

To simplify the expression sin(38°)cos(15°) - cos(38°)sin(15°), you can use the angle sum and difference identities for sine and cosine.

1. First, let's use the angle sum identity for sine:

   sin(A - B) = sin(A)cos(B) - cos(A)sin(B)

2. Now, plug in A = 38° and B = 15° into the identity:

   sin(38° - 15°) = sin(23°)

So, sin(38°)cos(15°) - cos(38°)sin(15°) simplifies to sin(23°).