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cos(90° - A) =

(A) cosA

(B) sinA

(C) -cosA

(D) -sinA

2 Answers

+1 vote
by (36.2k points)
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Best answer

Correct option is (B) sinA

\(\cos \left(90^{\circ}-A\right)=\sin A\)

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

Let \(A=90^{\circ}\) and \(B=a\)

Therefore,

\(\cos \left(90^{\circ}-a\right)=\cos 90^{\circ} \cos a+\sin 90^{\circ} \sin a\)

Here, we have,

\(\cos 90^{\circ} =0 \text { and } \sin 90^{\circ}=1\)

\(\cos \left(90^{\circ}-a\right) =\sin a\)

\(\therefore \cos \left(90^{\circ}-A\right) =\sin A\)

+1 vote
by (35.1k points)

सही विकल्प है (B) sinA

cos(90° - A) = sinA

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