Tan(45) = Sin(45) / Cos(45)
Sin(45) = sqrt(2) / 2
Cos(45) = sqrt)2)/2
Hence Tan(45) = [sqrt(2) / 2] / [sqrt(2)/2]
Division of fractions.
[sqrt(2) / 2] / [sqrt(2)/2] =>
sqrt(2) /2 X 2/ sqrt(2)
Cancel down by 'sqrt(2) ;
1/2 X 2/1
Cancel down by '2'
1/1 X 1/1 = 1/1 = 1
Hence Tan(45) = 1 .
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The value is 0.
The exact value is 0.5*sqrt(3)
cos20 x cos40 x cos80 = 0.0300 radians = 0.125 degrees (the value for radians is given to four decimal places, the value in degrees is exact)
The exact value of 60 degrees would be 1/2. This is a math problem.
It too will have a value of 5