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Question
Evaluate: sin 42° sin 48° - cos 42° cos 48°
Sum
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Solution
sin 42° sin 48° - cos 42° cos 48°
= sin(90° - 48°)sin 48° - cos(90° - 48°)cos 48°
= cos 48° sin 48° - sin 48°cos 48°
= cos 48° sin 48° - cos 48° sin 48°
= 0
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Chapter 21: Trigonometrical Ratios [Sine, Consine, Tangent of an Angle and their Reciprocals] - EXERCISE 21 (F) [Page 334]
