Hello!
First of all, let's find the arcosine (cos^-1) of (-15/17)
cos^-1(-15/17)≈-28.1
Now we find the sine of this number.
sin-28.1≈0.47
Therefore, our answer is about 0.47
I hope this helps!
cos⁻¹ a = arccos a
↓
sin(cos⁻¹ (-15/17)) = sin(arccos(-15/17))
[tex] sin(arccos(x))=\sqrt{1-x^{2}} [/tex]
↓
[tex] sin(arccos(-\frac{15}{17})=\sqrt{1-(-\frac{15}{17})} =\sqrt{1-\frac{225}{289}} =\sqrt{\frac{64}{289}} =\frac{8}{17} [/tex]
ANSWER : 8/17
