Question

If sin theta=15/17 what is the value of tan theta

Answer 1

Given–

$sinθ = \frac{15}{17}$
AC = 17
AB = 15
BC = ?



By Pythagoras theorem–

AC² = AB² + BC²
17² = 15² + BC²
289 = 225 + BC²
BC² = 289 – 225
BC² = 64
BC = √64
BC = 8


$tanθ = \frac{perpendicular}{base} = \frac{AB}{BC} \\ \\ \frac{AB}{BC} = \frac{15}{8}$
The value of tanθ = 15/8

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Answer 2

Answer : tan theta 15/8.