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jenaycasmall
28.12.2019 •
Mathematics
Use the given information to find the exact value of the expression. sin θ = 24/25, θ lies in quadrant ii find tan 2θ. a. - 526/527 b.336/625 c. -336/527 d. 336/527
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Ответ:
The adjacent side to θ is 7 because √(25²-24²)=7, so tanθ=7/24.
The double angle formula for tangent is tan 2θ = (2 tan θ) / (1 − tan² θ).
Substituting the value for tanθ in and keeping in mind that this is in quadrant IV, we get tan 2θ = -(2(7/24)/(1-(7/24)²)).
Simplified, this becomes tan 2θ = -336/527.
Therefore, the answer is C. -336/527.
Ответ: