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Problem 80

Convert each degree measure to radians. Round to the nearest hundredth. $$174^{\circ} 50^{\prime}$$

Problem 80

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. $$\tan \left[(2 n+1) \cdot 90^{\circ}\right]$$

Problem 81

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 \(s\). $$\left(x, \frac{24}{25}\right), x<0$$

Problem 81

Convert each degree measure to radians. Round to the nearest hundredth. $$64.29^{\circ}$$

Problem 81

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. $$\cos \left[(2 n+1) \cdot 90^{\circ}\right]$$

Problem 81

Use a calculator to find a decimal approximation for each value. Give as many digits as your calculator displays. $$\sin 2.5$$

Problem 82

Convert each degree measure to radians. Round to the nearest hundredth. $$122.62^{\circ}$$

Problem 82

Use a calculator to find a decimal approximation for each value. Give as many digits as your calculator displays. $$\cos 3.8$$

Problem 82

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. $$\cot \left(n \cdot 180^{\circ}\right)$$

Problem 82

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 \(s\). $$\left(x, \frac{8}{17}\right), x<0$$

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