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I used to work maths but now I am a father and after 25 years I forgot everything

This is the problem which should be easy since it is from a mental paper

If cos x = 0.8 find the value of 16 tan x

I appreciate any help of how you derived the answer
 Jun 20, 2012
 #1
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rooney72:

If cos x = 0.8 find the value of 16 tan x



cos(x)=0.8
then x equals:
x=acos(0.8)

[input]16*tan( acos(0.8) )[/input]
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or:
given this formula (any math formulary):
tan( x ) = sqrt( 1 - cos(x)^2 ) / cos( x )

16*tan( x ) = 16*sqrt( 1 - 0.8^2 ) / 0.8
16*sqrt( 1 - 0.8^2 ) / 0.8
16*sqrt( 1 - 0.64 ) / 0.8
16*sqrt( 0.36 ) / 0.8
16*sqrt( 0.36 ) / 0.8
16*0.6 / 0.8
9.6 / 0.8
12

[input]16*sqrt( 1 - 0.8^2 ) / 0.8[/input]
 Jun 20, 2012

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