What is expand 3sec(pi/4 (x+1)) ?

The solution to expand 3sec(pi/4 (x+1)) is (3sqrt(2)}{cos(\frac{pix)/4)-sin((pix)/4)}

Popular >

expand 3sec(pi/4 (x+1))

expand

3 sec (\frac{π}{4} (x + 1))

\frac{3 2}{cos ( \frac{π x}{4} ) - sin ( \frac{π x}{4} )}

Solution steps

3 sec (\frac{π}{4} (x + 1))

Expand

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

= 3 sec (\frac{π}{4} x + 1 \cdot \frac{π}{4})

Rewrite using trig identities

= 3 \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 3}{cos ( \frac{π x}{4} ) - sin ( \frac{π x}{4} )}

ln (cos^{2} (t) + 1) \cdot ((e^{x^{2}} \cdot 2 x) i + sinh (t) j)

e^{2 x} (x^{3} + 5)

\frac{4 x + 6}{x ( x + 2 )}

2 t (45 cos (3 t) + 16 e^{- 4 t} - 8 sin (2 t))

30 (\frac{1}{3} sin (3 x) - \frac{1}{2} cos (2 x) + \frac{1}{5} e^{5 x} + C)

What is expand 3sec(pi/4 (x+1)) ?
The solution to expand 3sec(pi/4 (x+1)) is (3sqrt(2)}{cos(\frac{pix)/4)-sin((pix)/4)}