Question #3813

If sin(x)=(1/11) (in quadrant 1)& find sin(2x)=

Expert's answer

If sin x = 1/11,

cos x =(1 - sin^{2} x)^{1/2} = (1 - 1/121)^{1/2} =(120/121)^{1/2} = 2 √30 /11

sin 2x = 2 sinx cosx = 2*1/11*2√30 /11 = 4√30 / 121

cos x =(1 - sin

sin 2x = 2 sinx cosx = 2*1/11*2√30 /11 = 4√30 / 121

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