(C) We know the identity $\sec^{2} \theta = 1 + \tan^{2} \theta$.Substituting the given value: $\sec^{2} \theta = 1 + (\frac{5}{12})^{2}$.$\sec^{2} \t

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(C) We know the identity $\sec^{2} \theta = 1 + \tan^{2} \theta$.Substituting the given value: $\sec^{2} \theta = 1 + (\frac{5}{12})^{2}$.$\sec^{2} \theta = 1 + \frac{25}{144} = \frac{144 + 25}{144} = \frac{169}{144}$.Taking the square root,$\sec \theta = \frac{13}{12}$.Since $\cos \theta = \frac{1}{\sec \theta}$,we get $\cos \theta = \frac{12}{13}$.

Class 10 Mathematics Introduction to Trigonometry Mix Examples - Introduction to Trigonometry

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If $\tan \theta = \frac{5}{12}$,then $\cos \theta = \ldots$

A
$\frac{5}{13}$
B
$\frac{5}{6}$
C
$\frac{12}{13}$
D
$\frac{12}{5}$

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Introduction to Trigonometry

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Mix Examples - Introduction to Trigonometry

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If $\tan \theta = \frac{5}{12}$,then $\cos \theta = \ldots$

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If $2 \sin^{2} \theta - \cos^{2} \theta = 2$,then find the value of $\theta$. (in $^{\circ}$)

If $3 \sin \theta = 4 \cos \theta$,then $\tan \theta = \ldots$

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