Posted by Brianna on .
Find exact value of the expression.
sin( 27pi/4 + 17pi/6)

trig 
Reiny,
sin( 27pi/4 + 17pi/6)
= sin(1215° + 510°)  sometimes I think better with degrees
= sin(1725°)
= sin(285°)  1725 = 4*360 + 285
=  sin 75°
= sin(45°+30°)
=  [sin45cos30 + cos45sin30]
=  [ (1/√2)(√3/2) + (1/√2)(1/2)]
=  (√3 + 1)/(2√2)
or after rationalizing ...
= (√6 + √2)/4