What is the value of arcsin(csc(-pi/2)) ?

The value of arcsin(csc(-pi/2)) is -pi/2

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arcsin(csc(-pi/2))

arcsin (csc (- \frac{π}{2}))

- \frac{π}{2}

Solution steps

arcsin (csc (- \frac{π}{2}))

Use the following property:

csc (- x) = - csc (x)

csc (- \frac{π}{2}) = - csc (\frac{π}{2})

= arcsin (- csc (\frac{π}{2}))

Use the following property:

arcsin (- x) = - arcsin (x)

arcsin (- csc (\frac{π}{2})) = - arcsin (csc (\frac{π}{2}))

= - arcsin (csc (\frac{π}{2}))

Use the following trivial identity:

csc (\frac{π}{2}) = 1

= - arcsin (1)

Use the following trivial identity:

arcsin (1) = \frac{π}{2}

= - \frac{π}{2}

\frac{arctan ( 0 )}{1}

arctan (\frac{0.08}{0.06})

\frac{( 325 \cdot cos ( 2 π \cdot 50 ) ) ^{2}}{10}

sin^{2} (- 9 0^{\circ})

400 cos (2 5^{\circ}) + 700 cos (8 0^{\circ})

What is the value of arcsin(csc(-pi/2)) ?
The value of arcsin(csc(-pi/2)) is -pi/2