If sin theta = 1/4 and theta is in quadrant ii, find the exact value of sin(theta-pi/3)

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22-04-2018
Mathematics

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If sin theta = 1/4 and theta is in quadrant ii, find the exact value of sin(theta-pi/3)

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CastleRook CastleRook · Answer 1 · 2018-05-02T14:33:48+02:00

CastleRook CastleRook

02-05-2018

To get the value required we proceed as follow:
sin θ=1/4
θ = arcsin 1/4
θ=14.4775~14.5°
Since it is in the quadrant ii, the value of θ=180-14.5=165.5°
Answer: 165.5°

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