Question

If sec theta + tan theta = x, then find the value of cot theta.

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Answer 1

Step-by-step explanation:

$\sec( \alpha ) + \tan( \alpha ) = x$

$(1 \div \cos( \alpha ) ) + (1 \div \cot( \alpha ) ) = x$

$1 \div \cot( \alpha ) = x - 1 \div \cos( \alpha )$

$\cot( \alpha ) =( 1 \div x) - \cos( \alpha )$

$\cot( \alpha ) = 1 - x \cos( \alpha ) \div x$

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