sin( 30 -A) cos ( 60 + A) + sin( 30 + A) (sin 60 + A) = 1
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Step-by-step explanation:
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Step-by-step explanation:
Here,
(1/2 cos A - √3 /2 sin A) ( 1/2 cosA - √3/2 sin A) + ( √3/2 cosA + 1/2 sin A ) ( √3 /2 cos A + 1/2 sin A)
= (cosA - √3sinA)/2}² + ( √3 cosA + sinA)/2}²
=( 1 + 3cos²A + 3sin²A)/4
= (1 + 3)/4
= 4/4
= 1 RHS proved
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