if cosz=200, what is the exact value of z?help
7 years ago
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7 years ago
i mean what the exact value of z!
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7 years ago
How about cos inverse(200)
Is this correct
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7 months ago
To find the exact value of z when cos(z) equals 200, we need to understand that the range of the cosine function is between -1 and 1. Since the value 200 is beyond this range, we can say that there is no exact value for z in this case.
The cosine function takes on values between -1 and 1 based on the input angle in radians or degrees. If we assume that you meant cos(z) = 2, we can proceed to find its value.
To find the exact value of z, we need to use an inverse trigonometric function, specifically the arccosine function (also denoted as cos^(-1)). The arccosine function will give us the angle whose cosine is equal to 2.
Using the arccosine function on both sides of the equation cos(z) = 2:
z = arccos(2)
Now, depending on whether you are working in degrees or radians, you need to use the appropriate mode on your calculator. Let's assume we're working in radians.
Using a scientific calculator, follow these steps:
1. Enter the value "2".
2. Press the "INV" or "2nd" button on your calculator.
3. Press the "COS" or "COS^-1" button. This will give you the value of z in radians.
If you are working in degrees, follow these steps instead:
1. Enter the value "2".
2. Press the "INV" or "2nd" button on your calculator.
3. Press the "COS" or "COS^-1" button.
4. Multiply the result by 180/Ï€ to convert the answer from radians to degrees.
Please note that if you meant cos(z) = 200, as stated at the beginning, there is no exact value of z since the range of the cosine function is between -1 and 1.