What is expand 5sec(pi/4 (x+3)) ?

The solution to expand 5sec(pi/4 (x+3)) is -(5sqrt(2)}{cos(\frac{pix)/4)+sin((pix)/4)}

Popular >

expand 5sec(pi/4 (x+3))

expand

5 sec (\frac{π}{4} (x + 3))

- \frac{5 2}{cos ( \frac{π x}{4} ) + sin ( \frac{π x}{4} )}

Solution steps

5 sec (\frac{π}{4} (x + 3))

Expand

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

= 5 sec (\frac{π}{4} x + 3 \cdot \frac{π}{4})

Rewrite using trig identities

= 5 (- \frac{2}{cos ( \frac{π x}{4} ) + sin ( \frac{π x}{4} )})

Simplify

5 (- \frac{2}{cos ( \frac{π x}{4} ) + sin ( \frac{π x}{4} )}) : - \frac{5 2}{cos ( \frac{π x}{4} ) + sin ( \frac{π x}{4} )}

= - \frac{5 2}{cos ( \frac{π x}{4} ) + sin ( \frac{π x}{4} )}

\frac{( y + 2 ) ^{2}}{4}

(16 u - v = 1,) (- 8 u + 2 v = 16)

\frac{2 x + 4}{x ( x + 4 )}

\frac{( 12 + 10 x - 2 x ^{2} ) d x}{x ^{3} - 4 x}

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

What is expand 5sec(pi/4 (x+3)) ?
The solution to expand 5sec(pi/4 (x+3)) is -(5sqrt(2)}{cos(\frac{pix)/4)+sin((pix)/4)}