Use a half-angle identity to fifd the exact value of sin 75º

sin75=√(2+√3)/2

Step-by-step explanation:

Cosx=1-2sin^2(x/2) let x=150

Cos150=1-2sin^2(150/2) cos150=-√3/2

-(√3)/2=1-2sin^2(75)

2sin^2(75)=1+(√3)/2

2sin^2(75)=(2+√3)/2

Cross multiply

2x2sin^2(75)=2+√3

4sin^2(75)=2+√3

sin^2(75)=(2+√3)/4

Take square root of both sides

sin75=√(2+√3)/√4

sin75=√(2+√3)/2

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step-by-step explanation:

36/60

36/2=18

60/2=30

18/30

18/3=6

30/3=10

6/10

6/2=3

10/2=5

your final answer would be 3/5 of an

hope this !