If 05sec⁡θ-12cos⁡ecθ=0 , then find the values of sec θ , cos θand sin θ
1. A
2. B
3. C
4. D
None of the above

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### Solution:

$5\mathit{sec\theta }-12\mathit{cosec\theta }=0$
$5\mathit{cos\theta }-12\mathit{sin\theta }=0$

$\mathit{tan\theta }=\frac{\mathit{perpendicular}}{\mathit{base}}$
$\left(\mathit{perpendicular}{\right)}^{2}+\left(\mathit{base}{\right)}^{2}=\left(\mathit{hypotenuse}{\right)}^{2}$
$\left(12{\right)}^{2}+\left(5{\right)}^{2}=\left(\mathit{hypotenuse}{\right)}^{2}$
$\left(\mathit{hypotenuse}{\right)}^{2}=169$

Hence,

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