<span>Simple. The two cyclists have covered a distance of 39 miles in 1.5 hours. 39 divided by 1.5 = 26, so 26kph combined speed. Then just divide 26 by 2 = 13kph, which is the average speed of each cyclist. Then add 2kph to the one cyclist and subtract 2kph from the other. One is going at 15kph, the other is going at 11kph. </span>
The exact values of the trigonometric identities cos, csc and tan as required in the task content are; -√41/5, -√41/4 and 4/5 respectively.
<h3>What are the exact values of cos, csc and tan as required in the task content?</h3>
It follows from above that the terminal side of the angle theta as described is on the point with coordinates (-5, -4).
Hence, the points spans 5 units leftwards and r units downwards on x and y axis respectively.
Hence, the length of the line that describes the angle by Pythagoras theorem is;
h = √((-4)² + (-5)²)
h = √41.
Hence, it follows from trigonometric identities that;
Cos (theta) = -5/√41.
Csc (theta) = -√41/4
Tan (theta) = 4/5
Read more on trigonometric identities;
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I am very confused on this question