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

The value of arcsin(cos(-pi/2)) is 0

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arcsin(cos(-pi/2))

arcsin (cos (- \frac{π}{2}))

0

Solution steps

arcsin (cos (- \frac{π}{2}))

Use the following property:

cos (- x) = cos (x)

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

= arcsin (cos (\frac{π}{2}))

Use the following trivial identity:

cos (\frac{π}{2}) = 0

= arcsin (0)

Use the following trivial identity:

arcsin (0) = 0

= 0

arccos (- \frac{7}{5 2})

sin (\frac{- 10 π}{3})

arctan (\frac{9}{11})

sec^{2} (\frac{π}{3}) - 1

cos (\frac{12 π}{12})