And can you explain the method?
Woops. COS X is -0.6
A negative number
Woops. COS X is -0.6
A negative number
9 answers by real people - Cos X = 0.6, what is X?
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Cos(x) = 0.6 means that x = ArcCos(0.6) = 53.13 degrees. This means that the radius vector in the unit circle is 53.13 degrees measured anticlockwise from the right hand horizontal initial position.
Cos(x) = -0.6 This means that the radius vector in the unit circle is in the second or third quadrant.
Thus the value of ‘x’ is either 180 – 53.13 = 126.87 degrees or 180 + 53.13 degrees = 233.13 degrees.
Now key in 126.87 degrees into a calculator and press Cos. It will come back with -0.6
Also key in 233.13 degrees into a calculator and press Cos. It will come back with -0.6
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You have to use the inverse button on the calculator usually marked Inv or cos^-1 for cosine depending on which calculator you have.
if in doubt which button look at the booklet that came with the calculator
now
Press Inv
enter 0.6
press cos^-1
Answer: 53.13 degrees
The other degrees which give the answer 0.6 for cosine is 360 – 53.13 = 306.87
so you need to know what the question asks you
So we have
cosine 53.13 = 0.6……………[correct to 2 decimal places]
cosine 306.87 = 0.6………….[correct to 2 decimal places]
306.87 is in what is called the fourth quadrant of the unit circle.
JUST SEEN YOUR ADDITIONAL INFORMATION
use the same method of inversing
Cosine 126.87 = – 0.6
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cosx = -0.6
=> x = cosinv (-0.6)
=> x = 180 -+ cosinv (0.6)
=> x = 180 -+ 53.13 (calculation from calculator or by tables)
=> x = 126.87 or 233.13 depending on if you want the answer in 2nd or 3rd quardant.
Further you can keep on adding 360 to get more answers in multiple cycles.
This answer is in degrees. To get the answer in radians multiply by (pi/180)
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am not sure but cos x = 0.6 then x = cos-1 [inverse] o.6 = your answer
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cos x=-0.6
x=0.6/cos
haha