What is cos(x)(csc(x)-sec(x))-cot(x) ?

The solution to cos(x)(csc(x)-sec(x))-cot(x) is -1

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simplify cos(x)(csc(x)-sec(x))-cot(x)

simplify

cos (x) (csc (x) - sec (x)) - cot (x)

- 1

Solution steps

cos (x) (csc (x) - sec (x)) - cot (x)

Expand

cos (x) (csc (x) - sec (x)) : cos (x) csc (x) - cos (x) sec (x)

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

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

= cot (x) - cot (x) - cos (x) sec (x)

Add similar elements:

cot (x) - cot (x) = 0

= - cos (x) sec (x)

Express with sin, cos

= - 1

\frac{n ( n + 1 )}{2}

(x + y) (x - y)

(e^{x} - 1)^{2}

(x + y i)^{3}

(sec (x) - tan (x))^{2}

What is cos(x)(csc(x)-sec(x))-cot(x) ?
The solution to cos(x)(csc(x)-sec(x))-cot(x) is -1