What is expand 5sec(pi/4 (x+1)) ?

The solution to expand 5sec(pi/4 (x+1)) is (5sqrt(2)}{cos(\frac{pix)/4)-sin((pix)/4)}

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expand 5sec(pi/4 (x+1))

expand

5 sec (\frac{π}{4} (x + 1))

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

Solution steps

5 sec (\frac{π}{4} (x + 1))

Expand

\frac{π}{4} (x + 1) : \frac{π}{4} x + 1 \cdot \frac{π}{4}

= 5 sec (\frac{π}{4} x + 1 \cdot \frac{π}{4})

Rewrite using trig identities

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

Multiply fractions:

a \cdot \frac{b}{c} = \frac{a \cdot b}{c}

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

\frac{18}{23} - \frac{1}{23}

\frac{x ( - x y ^{2} - x ^{2} y + 32 x )}{( y + x ) ^{2}}

(1 + 0.9 z) \cdot (1 - 0, 9 z) \cdot (1 + 2 z)

- 25

(y + 1) d x + (4 x - y) d y

What is expand 5sec(pi/4 (x+1)) ?
The solution to expand 5sec(pi/4 (x+1)) is (5sqrt(2)}{cos(\frac{pix)/4)-sin((pix)/4)}