What is expand sin(x)(sec(x)-sqrt(2)) ?

The solution to expand sin(x)(sec(x)-sqrt(2)) is tan(x)-sqrt(2)sin(x)

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expand sin(x)(sec(x)-sqrt(2))

expand

sin (x) (sec (x) - 2)

tan (x) - 2 sin (x)

Solution steps

sin (x) (sec (x) - 2)

Apply the distributive law:

a (b - c) = ab - a c

sin (x) (sec (x) - 2) = sin (x) sec (x) - sin (x) 2

= sin (x) sec (x) - sin (x) 2

Simplify

sin (x) sec (x) - sin (x) 2 : tan (x) - 2 sin (x)

= tan (x) - 2 sin (x)

(m - n) (m + n) (m + n) (m^{2} + n^{2})

(3 u - u + 3) (2 u + u + 3)

(cos (x) + sec (x))^{2} + sin^{2} (x) - tan^{2} (x) + 3

(\frac{1}{2} - \frac{3}{2} i)^{16}

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

What is expand sin(x)(sec(x)-sqrt(2)) ?
The solution to expand sin(x)(sec(x)-sqrt(2)) is tan(x)-sqrt(2)sin(x)