Question 1032964
Use the sum or difference identities to find the exact value of the trigonometric function.
sin(735 degrees)
<pre>One of the terminal angles of {{{735^o}}} is 735 - 2(360), or 735 - 720 = {{{15^o}}}
Difference of two angles' identity associated with {{{15^o}}} is: {{{highlight_green(matrix(1,7, sin (A - B), "=", sin (A) cos (B) - cos (A) sin (B), or, sin (45 - 30), "=", sin (45^o) cos (30^o) - cos (45^o) sin (30^o)))}}}
{{{sin (45^o) = sqrt(2)/2}}}
{{{cos (30^o) = sqrt(3)/2}}}
{{{cos (45^o) = sqrt(2)/2}}}
{{{sin (30^o) = 1/2}}}