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Can someone help me simplify this?​

Can someone help me simplify this?​-example-1
User Mmey
by
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1 Answer

4 votes

Answer:

sinB

Explanation:

Using trigonometric sum/difference rule -

we can expand the expression to

= (sinAcosB + cosAsinB)cosA - (cosAcosB - sinAsinB)sinA

= cosAsinAcosB + cos^2(A)sinB - sinAcosAcosB + sin^2(A)sinB

= cos^2(A)sinB + sin^2(A)sinB

= (cos^2(A) + sin^2(A))sinB, (Pythagorean identity)

= (1 * sinB)

= sinB

User Msiemens
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