Question

A right triangle has side lengths , , and as shown below.

Use these lengths to find tanX , sinX, and cosX .

Answer 1

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Explanation:

To find the values of tanX, sinX, and cosX in a right triangle with side lengths a, b, and c, where c is the hypotenuse and X is the angle opposite to side a, we can use the following trigonometric ratios:

tanX = a/b

sinX = a/c

cosX = b/c

For example, if a = 3, b = 4, and c = 5, then the angle X opposite to side a is a right angle, and we can calculate:

tanX = a/b = 3/4 = 0.75

sinX = a/c = 3/5 = 0.6

cosX = b/c = 4/5 = 0.8