Mathematics
sin 27° sin 63° - cos 63° cos 27°
Trigonometric Identities
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Answer
Solving,
⇒ sin 27° sin 63° - cos 63° cos 27°
⇒ sin (90° - 63°) sin 63° - cos 63° cos (90° - 63°)
By formula,
sin(90° - θ) = cos θ and cos(90° - θ) = sin θ
⇒ sin 63° cos 63° - sin 63° cos 63°
⇒ 0.
Hence, sin 27° sin 63° - cos 63° cos 27° = 0.
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