josephjsharp josephjsharp

12-01-2020
Mathematics

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Suppose tanΘ = 3/5, and that Θ is in quadrant I. Find tan2Θ.

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12-01-2020

Answer:

15/8

Step-by-step explanation:

tan 2θ = 2 tan θ / (1 − tan² θ)

tan 2θ = 2 (3/5) / (1 − (3/5)²)

tan 2θ = (6/5) / (1 − 9/25)

tan 2θ = (6/5) / (16/25)

tan 2θ = (6/5) × (25/16)

tan 2θ = 15/8

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