Asked by Sandy
find the exact value by using the appropriate half-angle identity:
sin(5pi/12)
sin(5pi/12)
Answers
Answered by
Reiny
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
sin75 = sin(30+45)
= sin30cos45 + cos30sin45
= (1/2)√2/2 + (√3/2)(√2/2)
= (√2 + √6)/4
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