What are the input and output values for determining the sine of 60°?


input: StartFraction 2 Over StartRoot 3 EndRoot EndFraction; output: 60°

input: 60°; output: StartFraction StartRoot 3 EndRoot Over 2 EndFraction

input: 60°; output: StartFraction 2 Over StartRoot 3 EndRoot EndFraction

input: StartFraction StartRoot 3 EndRoot Over 2 EndFraction; output: 60°

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Answer:

It's the second choice: sin 60 =√3/2.

Step-by-step explanation:

In the right  triangle whose angles are 30-60-90, the ratio of the angles

is 1 : √3 : 2.

The  hypotenuse is 2 and the 60 degree angle is opposite the longest leg of length √3.

So sin 60 = opposite / hypotenuse

= √3/2.

The input value is 60 degree and output value is  [tex]\frac{\sqrt{3} }{2}[/tex].

In the function of [tex]y=sin(\theta)[/tex] , y is the output values and [tex]\theta[/tex] is the input values.

          [tex]y=sin(\theta)[/tex]

Substitute [tex]\theta=60[/tex] in above function.

We get,    [tex]y=sin(60)=\frac{\sqrt{3} }{2}[/tex]

The value of   [tex]sin(60)=\frac{\sqrt{3} }{2}[/tex]

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