Find sin 2x, cos 2x, and tan 2x from the given information. sinx=(5/13), x is 1

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Find sin 2x, cos 2x, and tan 2x from the given information.  
sinx=(5/13), x is 1

May 15th, 2015

sin x = 5/13

So, cos x = 12/13

sin(2x) = 2 sinx cosx = 2 * (5/13) * (12/13) = 120/169

cos(2x) = 1-2*sq(sinx) = 1-2*(25/169) = 119/169

tan(2x) = sin(2x)/cos(2x) = 120/119

May 15th, 2015

sinx=(5/13), x is Quadrant 1

Does this change the answer?

May 15th, 2015

no it doesnt.. because x is positive in that quadrant

May 15th, 2015

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