Evaluate the following.

sin 25° sin 65° – cos 25° cos 65°.

This question was previously asked in
SSC CGL 2023 Tier-I Official Paper (Held On: 14 Jul 2023 Shift 2)
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  1. 40
  2. 4
  3. 0
  4. 1

Answer (Detailed Solution Below)

Option 3 : 0
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PYST 1: SSC CGL - English (Held On : 11 April 2022 Shift 1)
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Detailed Solution

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Concept:

sin(90 - a) = cos a

Cos(90 - a) = sin a

Calculation

sin 25° sin 65° – cos 25° cos 65°

⇒ sin 25° sin (90 - 25)° – cos 25° cos (90 - 25)°

⇒ sin 25° cos 25° – cos 25° sin 25°

⇒ 0

The value is 0.

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