Question

Find both solutions between 0^0 and 360^0 of the equation sin theta =7/12 the first solution is theta =? the second solution is theta =?

Answer 1

`theta=35.69^@" or "theta=144.31^@`

Explanation:

`"since "sintheta=7/12>0`

`"this tells us that "theta" is in the first or second quadrant"`

`rArrtheta=sin^-1(7/12)=35.69^@larrcolor(blue)"first quadrant"`

`"or "theta=(180-35.69)^@=144.31^@larrcolor(blue)"second quadrant"`