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(COSA-SINA)²= 1-2sinA. COSA ​
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4 votes
(COSA-SINA)²=
1-2sinA. COSA
​

User Xis
by
4.4k points

1 Answer

6 votes

Answer:

see explanation

Explanation:

using the identity

sin²x + cos²x = 1

consider left side

(cosA - sinA)²

= (cosA - sinA)(cosA - sinA) ← expand using FOIL

= cos²A - sinAcosA - sinAcosA + sin²A

= cos²A + sin²A - 2sinAcosA

= 1 - 2sinAcosA

= right side

User Zoom
by
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