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प्रश्न
If sin (A + B) = 1 and cos (A – B) = 1, 00 ≤ (A + B) ≤ 900 and A > B, then find A and B.
उत्तर
Here, sin (A + B) = 1
⇒ sin (A + B) = 900 [∵ sin 900 = 1]
⇒ (A + B) = 900 …….(i)
Also, cos (A – B) = 1
⇒ cos (A – B) = 00 [∵ cos 00 = 1]
⇒ A – B = 00 ….(ii)
Solving (i) and (ii), we get:
A = 450 and B = 450
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