Question

Find an exact value for sin(17pi/12)

Answer 1

look at your Unit Circle I'd think

Answer 2

\(\bf \cfrac{17}{12}\implies \cfrac{12}{12}+\cfrac{5}{12}\implies 1+\cfrac{5}{12}\qquad thus
\\ \quad \\
\cfrac{17\pi}{12}\implies \cfrac{12\pi}{12}+\cfrac{5\pi}{12}\implies \pi+\cfrac{5\pi}{12}\)

Answer 3

\(\color{blue}{ π=180° }\)
so, \(\color{blue}{ sin( 17π/12) }\) would be same as \(\color{blue}{ sin(225°) }\)

To find \(\color{blue}{ sin(225°) }\) use

\(\color{blue}{ sin(180+75) }\)

knowing that \(\color{red}{ sin180=0 }\) and \(\color{red}{ sin75=\frac{3\sqrt{2} }{4} }\)

Answer 4

sin(A+B)=sin A cos B + cos A sin B

Answer 5

thanks guys!

Answer 6

You welcome !