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PLEASE HELP ME! 8 POINTS!

PLEASE HELP ME! 8 POINTS!-example-1
User Qff
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1 Answer

3 votes

Answer:

720/1681

Explanation:

First quadrant so everything is positive for a trig function of just the angle. I would suggest just drawing a right triangle using tan(x)=40/9 (opp/adj). Find the hypotenuse which is sqrt(40^2+9^2)=sqrt(1600+81)=sqrt(1681)=41. So sin(x)=40/41 and cos(x)=9/41.

Therefore sin(2x)=2sin(x)cos(x)=2(40/41)(9/41)=720/1681

User Paul Degnan
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6.5k points