What is expand tan(θ)(sec(θ)-1) ?

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

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expand tan(θ)(sec(θ)-1)

expand

tan (θ) (sec (θ) - 1)

sec (θ) tan (θ) - tan (θ)

Solution steps

tan (θ) (sec (θ) - 1)

Apply the distributive law:

a (b - c) = ab - a c

tan (θ) (sec (θ) - 1) = tan (θ) sec (θ) - tan (θ) \cdot 1

= tan (θ) sec (θ) - tan (θ) \cdot 1

Simplify

tan (θ) sec (θ) - tan (θ) \cdot 1 : sec (θ) tan (θ) - tan (θ)

= sec (θ) tan (θ) - tan (θ)

\frac{( 16 x ^{4} )}{3 \cdot ( 9 - x ^{2} )}

\frac{60 s + 1200}{s ( s + 10 ) ^{2}}

- 6 x^{\frac{5}{3}} (- 2 x^{\frac{1}{2}} + 3 x^{\frac{1}{3}})

(2 a + b)^{2}

x (x + 1)

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