if tan A =3/4 show that sin A. cosA=12/25
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tanA = 3/4 ⇒ p/b = 3/4 ⇒ p = 3k & b = 4k
Therefore, h=√(3k)² + (4k)² = 5k
Hence, sinA cosA = p/h×b/h = pb/h² = (3k×4k)/25k² = 12k²/25k² = 12/25
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