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

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

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expand sin(θ)(sec(θ)-csc(θ))

expand

sin (θ) (sec (θ) - csc (θ))

tan (θ) - 1

Solution steps

sin (θ) (sec (θ) - csc (θ))

Apply the distributive law:

a (b - c) = ab - a c

sin (θ) (sec (θ) - csc (θ)) = sin (θ) sec (θ) - sin (θ) csc (θ)

= sin (θ) sec (θ) - sin (θ) csc (θ)

Simplify

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

= tan (θ) - 1

e^{x} (sin (x) + cos (x))

(\frac{7 x}{3} - \frac{y}{5}) (\frac{7 x}{3} + \frac{y}{5})

(x + 6) (x - 6)

\frac{12 x ^{3} - 37 x ^{2} + 48 x - 36}{( x - 2 ) ^{2} ( x ^{2} + 4 )}

(x - 2 + 6) (x - 2 - 6)

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