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Evaluate: (sin 72° + cos 18°) (sin 72° - cos 18°)
Question

Evaluate: (sin 72° + cos 18°) (sin 72° - cos 18°)

A.

1

B.

0

C.

2

D.

-1

Correct option is B

Given:

(sin 72° + cos 18°) (sin 72° - cos 18°)

Formula Used:

cos A = sin (90-A)

Solution:

=> (sin 72° + cos 18°) (sin 72° – cos 18°)

=> (sin 72° + cos 18°) [sin 72° – cos (90 - 72°)]

=> (sin 72° + cos 18°) [sin 72° – sin 72°]

=> (sin 72° + cos 18°) × 0

=> 0

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