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If sin theta = 5/13 and Oterminates on the interval [0, pi 2] find the exact value of tan 2theta

a.12/5
b. 120/119
c. 5/12
d.119/120

1 answer

sinθ = 5/13, so in QI,
tanθ = 5/12

tan2θ = 2tanθ / (1 - tan^2 θ)
so plug and chug

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