What is expand csc(pi/2+α)-sec(pi-α) ?

The solution to expand csc(pi/2+α)-sec(pi-α) is 2sec(α)

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expand csc(pi/2+α)-sec(pi-α)

expand

csc (\frac{π}{2} + α) - sec (π - α)

2 sec (α)

Solution steps

csc (\frac{π}{2} + α) - sec (π - α)

Rewrite using trig identities

= \frac{1}{cos ( α )} - sec (π - α)

Rewrite using trig identities

= \frac{1}{cos ( α )} - (- \frac{1}{cos ( α )})

Simplify

\frac{1}{cos ( α )} - (- \frac{1}{cos ( α )}) : \frac{2}{cos ( α )}

= \frac{2}{cos ( α )}

Use the basic trigonometric identity:

\frac{1}{cos ( x )} = sec (x)

= 2 sec (α)

g e n (1, - 2, 3)

\frac{d}{d y} ((x) (e^{- 3 x} - (3 y + 1) x))

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

3 (7 + 6)

3 (3 + 2)

What is expand csc(pi/2+α)-sec(pi-α) ?
The solution to expand csc(pi/2+α)-sec(pi-α) is 2sec(α)