Use a Compass to Sketch a Quarter of a Circle $a = 10 ^ { \circ }$

question 15

Multiple Choice

Use a compass to sketch a quarter of a circle of radius 10 centimeters.Using a protractor, construct an angle of $a = 10 ^ { \circ }$ in standard position (see figure) .Drop a perpendicular line from the point of intersection of the terminal side of the angle and the arc of the circle.By actual measurement, calculate the coordinates $$( x , y )$$ of the point of intersection and use these measurements to approximate the six trigonometric functions of a $$\text { "a" }$$ angle.(Round your answer to two decimal places.)

• A)sin10° \(\approx\) 0.98, cos10° \(\approx\) 0.17, tan10° \(\approx\) 5.76,csc10° \(\approx\) 0.18, sec10°\(\approx\) 1.02, cot10° \(\approx\) 5.67
• B)sin10° \(\approx\) 5.67, cos10°\(\approx\) 1.02, tan10° \(\approx\) 5.76,csc10° \(\approx\) 0.18, sec10° \(\approx\) 0.98, cot10° \(\approx\) 5.67
• C)sin10° \(\approx\) 0.17, cos10° \(\approx\) 0.98, tan10° \(\approx\) 0.18,csc10° \(\approx\) 5.76, sec10° \(\approx\) 1.02, cot10° \(\approx\) 5.67
• D)sin10° \(\approx\) 0.18, cos10° \(\approx\) 0.98, tan10° \(\approx\) 0.17,csc10° \(\approx\) 10, sec10° \(\approx\) 0.98, cot10° \(\approx\) 5.76
• E)sin10° \(\approx\) 0.17, cos10° \(\approx\) 0.98, tan10° \(\approx\) 0.18,csc10° \(\approx\) 5.76, sec10° \(\approx\) 5.67, cot10° \(\approx\) 1.02

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