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cos 38° cos 52° - sin 38° sin 52° =

(A) 1

(B) 0

(C) 2

(D) \(\frac12\)

1 Answer

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Best answer

Correct option is (B) 0

\(\cos 38^{\circ} \cos 52^{\circ}-\sin 38^{\circ} \sin 52^{\circ}\)

\(= \cos \left(90^{\circ}-52^{\circ}\right) \cos \left(90^{\circ}-38^{\circ}\right)-\sin 38^{\circ} \sin 52^{\circ}\)

\(= \sin 52^{\circ}\sin 38^{\circ}-\sin 38^{\circ} \sin 52^{\circ} \quad[\because \cos(90^\circ - A) = \sin A]\) 

\(= 0\)

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