Question

Fie sin2alfa = 3/5. Aflati sin alfa

Answer 1

sin2 alfa=2sin alfa cos alfa=3/5

cos alfa= radical din (1-sin² alfa)

2× sin alfa× radical(1-sin² alfa)=3/5

sin alfa×radical 1-sin²alfa=3/10

sin²alfa(1-sin²alfa)=9/100

sin²alfa-sin⁴alfa=9/100

-x²+x-9/100=0

x²-x+9/100=0

delta= 1-4×9/100

delta=100/100-36/100

delta=64/100

x1=(1-8/10)/2. x1=2/20. x1=1/10

x2=(1+8/10)/2. x2=18/20. x2=9/10

sin²alfa=1/10

sin alfa=1/rad10

sin²alfa=9/10

sin alfa=3/rad10

Answer 2

Răspuns:

Explicație pas cu pas:

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