SSC CHSL 12 Oct 2020 Shift 3 Paper

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Question : 59 of 100

Marks: +1, -0

If

\sin x={12}/{37}

, then what is the value of

\tan x ?

${35}/{12}$
${35}/{37}$
${37}/{12}$
${12}/{35}$

Solution:

\sin x={12}/{37}

{\cosec} x={37}/{12}

We know that,

{\cosec}^{2} x-1=\cot ^{2} x

⇒

\cot ^{2} x=({37}/{12})^{2}-1

⇒

\cot ^{2} x={1369}/{144}-1

⇒

\cot ^{2} x={1369-144}/{144}

⇒

\cot ^{2} x={1225}/{144}

⇒

\cot x=\√{{1225}/{144}}

⇒

\cot x={35}/{12}

∴

\tan x={12}/{35}

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