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If tan alpha =5/12 find the …

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If tan alpha =5/12 find the value of sec alpha

Posted by Kl Mohan 6 years, 3 months ago

CBSE > Class 10 > Mathematics

1 answers

Sia ? 6 years, 3 months ago

According to the question, tan {tex}\alpha{/tex} = {tex}\frac{5}{12}{/tex}
We know that, sec {tex}\alpha{/tex} = {tex}\sqrt{1 + tan^2 \alpha}{/tex}
= {tex}\sqrt{1 + \frac{25}{144}}{/tex}
={tex}\sqrt{ \frac{144+25}{144}}{/tex}
={tex}\sqrt{ \frac{169}{144}}{/tex}
= {tex}\frac{13}{12}{/tex}

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CBSE > Class 10 > Mathematics