What is cot^2(x)sec(x)-cos(x) ?

The solution to cot^2(x)sec(x)-cos(x) is cot^2(x)cos(x)

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simplify cot^2(x)sec(x)-cos(x)

simplify

cot^{2} (x) sec (x) - cos (x)

cot^{2} (x) cos (x)

Solution steps

cot^{2} (x) sec (x) - cos (x)

cot^{2} (x) sec (x) = cot (x) csc (x)

= cot (x) csc (x) - cos (x)

Express with sin, cos

= \frac{cos ( x ) - cos ( x ) sin ^{2} ( x )}{sin ^{2} ( x )}

Factor

\frac{cos ( x ) - cos ( x ) sin ^{2} ( x )}{sin ^{2} ( x )} : \frac{cos ( x ) ( 1 - sin ^{2} ( x ) )}{sin ^{2} ( x )}

= \frac{( 1 - sin ^{2} ( x ) ) cos ( x )}{sin ^{2} ( x )}

Rewrite using trig identities

= cos (x) cot^{2} (x)

2 sin (2 x - \frac{π}{6})

\frac{1}{tan ^{2} ( x ) + 1}

cos (\cdot arccos (x))

x d x + sec (x) sin (x)

cos (arcsin (\frac{m g}{T}))

What is cot^2(x)sec(x)-cos(x) ?
The solution to cot^2(x)sec(x)-cos(x) is cot^2(x)cos(x)