Evaluate the following expression Your answer must be in exa

Evaluate the following expression. Your answer must be in exact form: for example, type pi/6 for pi/6 or DNE if the expression is undefined. Arcsin(sin(-25 pi/7)) =

Solution

arcsin(sin(-25pi/7))

Let y = arcsin(sin(-25pi/7))

siny = sin(-25pi/7)

Range of sin^-1(x) ---( -pi/2 , pi/2)

y = -25pi/7 = -2pi - 11pi/7

= -11pi/7

= 2pi -11pi/7

= 3pi/7