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Evaluate: Sin 15° Cos 15° - Cos 75° Sin 75°

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Question

Evaluate: sin 15° cos 15° - cos 75° sin 75°

Sum
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Solution

sin 15° cos 15° - cos 75° sin 75°
= sin(90° - 75°) cos15° - cos 75° sin (90° -15°)
= cos 75° cos 15° - cos 75° cos 15°
= 0.

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Chapter 21: Trigonometrical Ratios [Sine, Consine, Tangent of an Angle and their Reciprocals] - EXERCISE 21 (F) [Page 334]

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Selina Concise Mathematics [English] Class 9 ICSE
Chapter 21 Trigonometrical Ratios [Sine, Consine, Tangent of an Angle and their Reciprocals]
EXERCISE 21 (F) | Q 2. (vii) | Page 334
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