Simplify (cot x secx)/(cscx) ?

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Simplify (cot x secx)/(cscx) ?

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Answer 1 · 2017-08-23T23:47:24

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Explanation:

$cot (x) = \frac{1}{tan (x)} = \frac{cos (x)}{sin (x)}$ $cot(x) = 1/(tan(x)) = (cos(x))/(sin(x))$

$sec (x) = \frac{1}{cos (x)}$ $sec(x) = 1/(cos(x))$

$csc (x) = \frac{1}{sin (x)}$ $csc(x) = 1/sin(x)$

$\Rightarrow \frac{cot (x) sec (x)}{csc (x)} = \frac{\frac{cos (x)}{sin (x)} \cdot \frac{1}{cos (x)}}{\frac{1}{sin (x)}} = \frac{sin (x)}{sin (x)} = 1$ $implies (cot(x)sec(x))/csc(x) = (cos(x)/(sin(x))*1/(cos(x)))/(1/(sin(x))) = (sin(x))/(sin(x)) = 1$

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Simplify (cot x secx)/(cscx) ?

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