Solve cos ((5pi/2)-x)csc(-x)

Evaluate

cos ((5 \times \frac{π}{2}) - x) csc (- x)

Multiply the numbers

cos (\frac{5 π}{2} - x) csc (- x)

Rewrite the expression

More Steps

sin (x) csc (- x)

Use csc (- t) = - csc (t) to transform the expression

sin (x) (- csc (x))

Rewrite the expression

- sin (x) csc (x)

Use csc t = \frac{1}{sin t} to transform the expression

- sin (x) \times \frac{1}{sin ( x )}

Cancel out the common factor sin (x)

- 1 \times 1

Solution

- 1

Simplify the expression