---### Trigonometric Functions Calculation#### Problem Statement:**Question 50:** Find the missing side and then find the **exact value** of each trigonometric function. *(Leave as a fraction, no decimals)*---#### Given Right Triangle:- Hypotenuse (\(CA\)) = 15- One leg (\(CB\)) = 9##### Find:- The other leg (\(AB\)) ##### Trigonometric Functions:\[\sin A = \]\[\cos A = \]\[\tan A = \]\[\sin C = \]\[\cos C = \]\[\tan C = \]---#### Explanation of Diagram:The diagram presents a right triangle \( \bigtriangleup ABC \) with:- \( \angle B \) being the right angle (90 degrees).- Hypotenuse \( CA \) is 15 units.- One leg \( CB \) is 9 units.To determine the values of the trigonometric functions, the length of the missing side \( AB \) can be found using the Pythagorean Theorem.\[AB^2 + CB^2 = CA^2\]\[AB^2 + 9^2 = 15^2\]\[AB^2 + 81 = 225\]\[AB^2 = 225 - 81\]\[AB^2 = 144\]\[AB = \sqrt{144}\]\[AB = 12\]Thus, the lengths of the sides of triangle \( \bigtriangleup ABC \) are:- \( AB = 12 \) units- \( CB = 9 \) units- \( CA = 15 \) unitsWith these values, the trigonometric functions can be calculated.For angle \( A \):\[\sin A = \frac{\text{opposite}}{\text{hypotenuse}} = \frac{CB}{CA} = \frac{9}{15} = \frac{3}{5}\]\[\cos A = \frac{\text{adjacent}}{\text{hypotenuse}} = \frac{AB}{CA} = \frac{12}{15} = \frac{4}{5}\]

Name: ---### Trigonometric Functions Calculation#### Problem Statement:**Qu
Uploaded: 2024-03-20T06:46:55.000Z
Channel: Bartleby
Description: ---### Trigonometric Functions Calculation#### Problem Statement:**Question 50:** Find the missing side and then find the **exact value** of each trigonometric function. *(Leave as a fraction, no decimals)*---#### Given Right Triangle:- Hypotenuse (