What is expand sin(x)(sec(x)-csc(x)) ?

The solution to expand sin(x)(sec(x)-csc(x)) is tan(x)-1

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expand sin(x)(sec(x)-csc(x))

expand

sin (x) (sec (x) - csc (x))

tan (x) - 1

Solution steps

sin (x) (sec (x) - csc (x))

Apply the distributive law:

a (b - c) = ab - a c

sin (x) (sec (x) - csc (x)) = sin (x) sec (x) - sin (x) csc (x)

= sin (x) sec (x) - sin (x) csc (x)

Simplify

sin (x) sec (x) - sin (x) csc (x) : tan (x) - 1

= tan (x) - 1

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

\frac{( x + 1 ) ^{3}}{x}

a (- 1, - 3) b (5, 5) c (6, - 2)

(sec (θ) - csc (θ)) (cos (θ) + sin (θ))

(e^{x} - e^{- x})^{3}

What is expand sin(x)(sec(x)-csc(x)) ?
The solution to expand sin(x)(sec(x)-csc(x)) is tan(x)-1