# Cos X = 0.6, what is X? And can you explain the method?

Update:

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?

• 10 hours ago

cos(x) = -0.6

x = 126.86 or 127° answer//

• Sean J
10 hours ago

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

• Anonymous
10 hours ago

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

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.

use the same method of inversing

Cosine 126.87 = – 0.6

10 hours ago

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.

• ?
10 hours ago

am not sure but cos x = 0.6 then x = cos-1 [inverse] o.6 = your answer

• Anonymous
10 hours ago

Here´s what i think.

Cos X = -0.6

You have to place Cos on the right side so you get the inverse Cos^-1

Gives:

X = Cos^-1 -0.6

So now all you have to do is calculate it

X = 126.8698976

• Anonymous
10 hours ago

press on your calculator sift cos-0.6 and you will get 126.87 deg

• Arul Seth
10 hours ago

cos x=-0.6

x=0.6/cos

haha

• Anonymous
10 hours ago

126.86