# Answer to Question #3813 in Trigonometry for vrf

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

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

cos x =(1 - sin

^{2}x)^{1/2}= (1 - 1/121)^{1/2}=(120/121)^{1/2}= 2 √30 /11sin 2x = 2 sinx cosx = 2*1/11*2√30 /11 = 4√30 / 121

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