Question

Find \sin(2x), \cos(2x), and \tan(2x) from the given information. \sin(x) = -\frac{8}{17}, x in Quadrant III \sin(2x) = \cos(2x) = \tan(2x) =

          Find \sin(2x), \cos(2x), and \tan(2x) from the given information.
\sin(x) = -\frac{8}{17}, x in Quadrant III
\sin(2x) =
\cos(2x) =
\tan(2x) =

Find sin(2x), cos(2x), and tan(2x) from the given information.
sin(x) = -(8)/(17), x in Quadrant III
sin(2x) =
cos(2x) =
tan(2x) =

Added by Kim J.

Precalculus with Limits

Ron Larson 2nd Edition

Instant Answer

Solved by Expert Suman Saurav Thakur

05/20/2022

Step 1

Since sin(x) = -(8/17) and x is in Quadrant III, we can use the Pythagorean identity to find cos(x): cos(x) = -√(1 - sin^2(x)) cos(x) = -√(1 - (-8/17)^2) cos(x) = -√(1 - 64/289) cos(x) = -√(225/289) cos(x) = -15/17 Show more…

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Find sin(2x), cos(2x), and tan(2x) from the given information. sin(x) = -(8)/(17), x in Quadrant III sin(2x) = cos(2x) = tan(2x) = Find sin(2x), cos(2x), and tan(2x) from the given information. sin(x) = -(8)/(17), x in Quadrant III sin(2x) = cos(2x) = tan(2x) =