What is expand 4sec(pi/4 (x+3)) ?

The solution to expand 4sec(pi/4 (x+3)) is -(4sqrt(2)}{cos(\frac{pix)/4)+sin((pix)/4)}

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expand 4sec(pi/4 (x+3))

expand

4 sec (\frac{π}{4} (x + 3))

- \frac{4 2}{cos ( \frac{π x}{4} ) + sin ( \frac{π x}{4} )}

Solution steps

4 sec (\frac{π}{4} (x + 3))

Expand

\frac{π}{4} (x + 3) : \frac{π}{4} x + 3 \cdot \frac{π}{4}

= 4 sec (\frac{π}{4} x + 3 \cdot \frac{π}{4})

Rewrite using trig identities

= 4 (- \frac{2}{cos ( \frac{π x}{4} ) + sin ( \frac{π x}{4} )})

Simplify

4 (- \frac{2}{cos ( \frac{π x}{4} ) + sin ( \frac{π x}{4} )}) : - \frac{4 2}{cos ( \frac{π x}{4} ) + sin ( \frac{π x}{4} )}

= - \frac{4 2}{cos ( \frac{π x}{4} ) + sin ( \frac{π x}{4} )}

\frac{e ^{- t} ( 1 - 2 t )}{( 1 - t ) ( 1 - 4 t )}

(x - 3) \circ (5 x^{2} - 3)

lo g_{10} (2) (b^{3} c)

3 (\frac{1}{3} (x - 4)) + 4

(3 + j)^{5}

What is expand 4sec(pi/4 (x+3)) ?
The solution to expand 4sec(pi/4 (x+3)) is -(4sqrt(2)}{cos(\frac{pix)/4)+sin((pix)/4)}