Find exact value of the expression.

sin( 27pi/4 + 17pi/6)

1 answer

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
Similar Questions
  1. Find the exact value of the given expression.(tan17pi/12 - tan pi/4) / (1+tan 17pi/12 tan pi/4) can you help with this? i got
    1. answers icon 2 answers
  2. 1. Find the exact value of the expression.cos pi/16 * cos 3pi/16 - sin pi/16 * sin 3pi/16 My ans: sqrt2/2 2. Find the exact
    1. answers icon 1 answer
  3. Find the exact value. Without using a calculatora) cos (-17pi/6) b) sec (3pi/2)
    1. answers icon 1 answer
    1. answers icon 1 answer
more similar questions