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Please help me Im very confused thanks Find sin 2x, cos 2x, and tan 2x from the given
information. sin x = 8/17 x in Quadrant III sin 2x = -8/17 cos 2x = -15/17 tan 2x = -8/15
Solution
x is in quadrant 3 so cosx is positive
cosx = sqrt(1-sinx^2) = 15/17
a)sin(2x) = 2sinxcosx = 2(8/17)(15/17) = 240/287
b)cos2x = 1-2sinx^2 = 161/287
c)tan2x = sin2x/cos2x = 240/162

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Please help me Im very confused thanks Find sin 2x, cos 2x, and tan .pdf

  • 1. Please help me Im very confused thanks Find sin 2x, cos 2x, and tan 2x from the given information. sin x = 8/17 x in Quadrant III sin 2x = -8/17 cos 2x = -15/17 tan 2x = -8/15 Solution x is in quadrant 3 so cosx is positive cosx = sqrt(1-sinx^2) = 15/17 a)sin(2x) = 2sinxcosx = 2(8/17)(15/17) = 240/287 b)cos2x = 1-2sinx^2 = 161/287 c)tan2x = sin2x/cos2x = 240/162