If 5tan 12=0, then the value of

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Solution

Q.
If $5 t a n θ - 12 = 0$ , then the value of $\sin θ$ is

1 $\frac{5}{12}$

2 $\frac{12}{13}$

3 $\frac{5}{13}$

4 $\frac{12}{5}$

Ans.
(2)

$G i v e n, 5 t a n θ - 12 = 0 \Rightarrow t a n θ = \frac{12}{5} = \frac{p}{b} L e t p = 12 k, b = 5 k h = \sqrt{p^{2} + b^{2}} = \sqrt{(12 k)^{2} + (5 k)^{2}} = \sqrt{144 k^{2} + 25 k^{2}} = \sqrt{169 k^{2}} = 13 k si n θ = \frac{p}{h} = \frac{12 k}{13 k} = \frac{12}{13}$

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