What is expand 2sec(pi/4 (x+1)) ?

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

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expand 2sec(pi/4 (x+1))

expand

2 sec (\frac{π}{4} (x + 1))

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

Solution steps

2 sec (\frac{π}{4} (x + 1))

Expand

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

= 2 sec (\frac{π}{4} x + 1 \cdot \frac{π}{4})

Rewrite using trig identities

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

\frac{x ^{2} ( 4 - x )}{4}

- \frac{2 x ^{2} ( 15 y ^{4} + 2 x ^{4} )}{25 y ^{4}}

(t^{2} - sin (t)) d t

\frac{( 1125 b ^{2} + 256 a ^{3} ) ^{3}}{125000000}

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

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