trig

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find the exact value by using the appropriate half-angle identity:

sin(5pi/12)

  • trig -

    Some students can "think" better in degrees than radians, so 5π/12 rd = 75°

    sin75 = sin(30+45)
    = sin30cos45 + cos30sin45
    = (1/2)√2/2 + (√3/2)(√2/2)
    = (√2 + √6)/4

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