8. Introduction to Trigonometry
easy

$\sec ^{2} \theta+\tan ^{2} \theta=\frac{13}{12},$ હોય તો  $\sec ^{4} \theta-\tan ^{4} \theta $ = . . . 

A

$\frac{12}{13}$

B

$\frac{13}{12}$

C

$1$

D

$\frac{1}{12}$

Solution

$\sec ^{4} \theta-\tan ^{4} \theta=\left(\sec ^{2} \theta-\tan ^{2} \theta\right)\left(\sec ^{2} \theta+\tan ^{2} \theta\right)=(1)\left(\frac{13}{12}\right)=\frac{13}{12}$

Standard 10
Mathematics

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