find (cos A - sin A)2 + (cos A = sin A)2
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Answer:
(cosA-sinA)²+(cos A+sinA)²=2
Step-by-step explanation:
(cosA-sinA)²+(cos A+sinA)²
= 2(cos²A+sin²A)
/* we know that,
(a-b)²+(a+b)²=2(a²+b²) */
= 2
/* By Trigonometric identity:
cos²A + sin²A = 1 */
Therefore,
(cosA-sinA)²+(cos A+sinA)²=2
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