Answer
a. $f(2,π/6)=\sqrt 3/2$
b. $f(-3, π/12)=-\sqrt 2/2$
c. $f(π, 1/4)=\sqrt 2/2$
d. $f(-π/2,-7)=-1$
Work Step by Step
For each of the following, plug the x value into x and the y value into y. Then solve the equation by simplifying:
a. $f(2,π/6)=sin(2\times π/6)=\sqrt 3/2$
b. $f(-3, π/12)=sin(-3\times π/12)=-\sqrt 2/2$
c. $f(π, 1/4)=sin(π/4)=\sqrt 2/2$
d. $f(-π/2,-7)=sin(-π/2\times -7)=-1$