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Problem 83

If \(n\) is an integer, \(n \cdot 180^{\circ}\) represents an integer multiple of \(180^{\circ},(2 n+1) \cdot 90^{\circ}\) represents an odd integer multiple of \(90^{\circ}\), and so on. Decide whether each expression is equal to \(0,1\), or \(-1\) or is undefined. $$\cos \left[(2 n+1) \cdot 180^{\circ}\right]$$

Problem 83

Convert each radian measure to degrees. Round answers to the nearest minute. $$2$$

Problem 83

Use a calculator to find a decimal approximation for each value. Give as many digits as your calculator displays. $$\tan 5$$

Problem 83

Use the identity \(\cos ^{2} s+\sin ^{2} s=1\) to find the value of \(x\) or \(y,\) as appropriate. Then, assuming that \(s\) corresponds to the given point on the unit circle, find the six circular function values for \(s\). $$\left(-\frac{1}{3}, y\right), y<0$$

Problem 84

Convert each radian measure to degrees. Round answers to the nearest minute. $$5$$

Problem 84

Use the identity \(\cos ^{2} s+\sin ^{2} s=1\) to find the value of \(x\) or \(y,\) as appropriate. Then, assuming that \(s\) corresponds to the given point on the unit circle, find the six circular function values for \(s\). $$\left(-\frac{1}{4}, y\right), y<0$$

Problem 84

Use a calculator to find a decimal approximation for each value. Give as many digits as your calculator displays. $$\sec 10$$

Problem 84

If \(n\) is an integer, \(n \cdot 180^{\circ}\) represents an integer multiple of \(180^{\circ},(2 n+1) \cdot 90^{\circ}\) represents an odd integer multiple of \(90^{\circ}\), and so on. Decide whether each expression is equal to \(0,1\), or \(-1\) or is undefined. $$\cos \left(n \cdot 360^{\circ}\right)$$

Problem 85

Use a reference angle to find \(\sin \theta\) and \(\cos \theta\) for the given \(\theta\). $$\theta=120^{\circ}$$

Problem 85

Convert each radian measure to degrees. Round answers to the nearest minute. $$1.74$$

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