Problem 65
Question
Use a calculator to find the value of the trigonometric function to four decimal places. $$\csc 1$$
Step-by-Step Solution
Verified Answer
The approximate value for \(csc 1\) to four decimal places is 1.1884.
1Step 1: Calculate Sine Value
Use the calculator to compute the sine of 1 radian. Make sure the calculator is in radian mode as that the given angle is in radians not degrees. The result is approximately 0.841470.
2Step 2: Compute Cosecant Value
Next, take the reciprocal of the computed sine value to find the cosecant. To do this, divide 1 by the sine value. \(csc θ = 1/ \sin θ = 1/0.841470 = 1.1883951058\)
3Step 3: Round to Four Decimal Places
Lastly, round the answer to four decimal places. This is the required decimal approximation for \(csc 1\). The four decimal place value is 1.1884.
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