What is expand 3sec(pi/2 (x+1)) ?

The solution to expand 3sec(pi/2 (x+1)) is -3csc((pix)/2)

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expand 3sec(pi/2 (x+1))

expand

3 sec (\frac{π}{2} (x + 1))

- 3 csc (\frac{π x}{2})

Solution steps

3 sec (\frac{π}{2} (x + 1))

Expand

\frac{π}{2} (x + 1) : \frac{π}{2} x + 1 \cdot \frac{π}{2}

= 3 sec (\frac{π}{2} x + 1 \cdot \frac{π}{2})

Rewrite using trig identities

= 3 (- \frac{1}{sin ( \frac{π x}{2} )})

Simplify

3 (- \frac{1}{sin ( \frac{π x}{2} )}) : - \frac{3}{sin ( \frac{π x}{2} )}

= - \frac{3}{sin ( \frac{π x}{2} )}

Use the basic trigonometric identity:

\frac{1}{sin ( x )} = csc (x)

= - 3 csc (\frac{π x}{2})

\frac{30}{( s - α ) ( s - β )}

\frac{14 ( 50 - x )}{3}

f (x, y) (6 x^{2} + 5 x^{3} y^{4} - 10 y^{5})

(6 - \frac{6}{x ^{5}}) (x^{5} - 5 x^{2} + 3)

(\frac{x}{6} + 3 y) (\frac{x}{4} + 2 y)

What is expand 3sec(pi/2 (x+1)) ?
The solution to expand 3sec(pi/2 (x+1)) is -3csc((pix)/2)