Mathematics
The value of cos 65° sin 25° + sin 65° cos 25° is
0
1
2
4
Trigonometric Identities
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Answer
Since, angles are acute in the equation,
∴ cos(90° - θ) = sin θ and sin(90° - θ) = cos θ
Using above values in cos 65° sin 25° + sin 65° cos 25° we get,
⇒ cos 65° sin (90 - 65)° + sin 65° cos (90 - 65)°
⇒ cos 65° cos 65° + sin 65° sin 65°
⇒ cos2 65° + sin2 65°
⇒ 1.
Hence, Option 2 is the correct option.
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