Please show all stepss Find all values of theta if theta is

Please show all stepss.

Find all values of theta if theta is in the interval [0 degree, 360 degree) and has the given function value sin theta approximately equal to 0.5848858 The value(s) of theta is/are (Type an integer or decimal rounded to five decimal places as needed. Use a comma to separate answer.)

Solution

given sintheta =0.5848858

that implies theta =arcsin(0.5848858)

=35.79492272 degrees or

=180-35.79492272=144.2050773 degrees

this is because sintheta is positive when theta belongs to Q1 and Q2