What is expand 3(-sec(x)+2sec^3(x))+3sec(x)tan(x) ?

The solution to expand 3(-sec(x)+2sec^3(x))+3sec(x)tan(x) is -3sec(x)+6sec^3(x)+3sec(x)tan(x)

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expand 3(-sec(x)+2sec^3(x))+3sec(x)tan(x)

expand

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

- 3 sec (x) + 6 sec^{3} (x) + 3 sec (x) tan (x)

Solution steps

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

Apply the distributive law:

a (b + c) = ab + a c

3 (- sec (x) + 2 sec^{3} (x)) = 3 (- sec (x)) + 3 \cdot 2 sec^{3} (x)

= 3 (- sec (x)) + 3 \cdot 2 sec^{3} (x) + 3 sec (x) tan (x)

Simplify

3 (- sec (x)) + 3 \cdot 2 sec^{3} (x) : - 3 sec (x) + 6 sec^{3} (x)

= - 3 sec (x) + 6 sec^{3} (x) + 3 sec (x) tan (x)

(5 x^{2} - 4 x - 4 x^{3}) cos (x)

\frac{( n - 2 ) 180}{n}

12 (2 + \frac{2 i}{n})^{2} - 9

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

y^{\frac{5}{9}} (y^{\frac{1}{3}} - 4 y^{\frac{2}{9}})

What is expand 3(-sec(x)+2sec^3(x))+3sec(x)tan(x) ?
The solution to expand 3(-sec(x)+2sec^3(x))+3sec(x)tan(x) is -3sec(x)+6sec^3(x)+3sec(x)tan(x)