Answer: Exact value of sinθ in simplified form is 66.8° .
Step-by-step explanation:
Since we have given that
(-3,7)=(x,y)
As the terminal side of f θ passes through the point (−3,7)
So, Perpendicular will be =7 units
Base = 3 units
Since we know that
[tex]\sin \theta=\frac{Perpendicular}{Hypotenuse}\\\\\sin \theta=\frac{y}{\sqrt{x^+y^2}}\\\\\sin \theta=\frac{7}{\sqrt{9-3)^2+7^2}}\\\\\sin \theta=\frac{7}{\sqrt{9+49}}\\\\\sin \theta=\frac{7}{\sqrt{58}}\\\\\sin \theta=0.919\\\\\theta=\sin^{-1}(0.919)\\\\\theta=66.8\textdegree[/tex]
Hence, exact value of sinθ in simplified form is 66.8° .
