Question 3:
Evaluate
(ii) sin25° cos65° + cos25° sin65°
Answer:
(ii) sin25° cos65° + cos25° sin65°
= (sin25°) {cos (90°-25°)} + cos 25° {sin (90° – 25°)}
= (sin 25°) (sin 25°) + (cos 25°) (cos 25°)
= = sin225° + cos225°
= = 1 (As sin2A + cos2A = 1)
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