### Finding Trigonometric Ratios**Problem:**Find the sine, cosine, and tangent of angle \( A \) pictured below. Enter exact expressions or round your answers to the nearest thousandth.**Diagram Description:**The diagram shows a right-angled triangle with one of the non-right angles labeled as \( A \). The side opposite to angle \( A \) is not labeled, the adjacent side is labeled 5, and the hypotenuse is labeled 6.**Formulas to Use:**- Sine: \(\sin A = \frac{\text{opposite}}{\text{hypotenuse}}\)- Cosine: \(\cos A = \frac{\text{adjacent}}{\text{hypotenuse}}\)- Tangent: \(\tan A = \frac{\text{opposite}}{\text{adjacent}}\)**Calculation Steps:**1. Identify the length of the opposite side using the Pythagorean theorem: \[ \text{opposite} = \sqrt{\text{hypotenuse}^2 - \text{adjacent}^2} = \sqrt{6^2 - 5^2} = \sqrt{36 - 25} = \sqrt{11} \]2. With the lengths of all sides determined: - Opposite side = \(\sqrt{11}\) - Adjacent side = 5 - Hypotenuse = 63. Compute the trigonometric ratios: - \(\sin A = \frac{\sqrt{11}}{6}\) - \(\cos A = \frac{5}{6}\) - \(\tan A = \frac{\sqrt{11}}{5}\)Below are the boxes provided to enter the values you calculated:- **Sine of A:** \[ \sin A = \boxed{\frac{\sqrt{11}}{6}} \]- **Cosine of A:** \[ \cos A = \boxed{\frac{5}{6}} \]- **Tangent of A:** \[ \tan A = \boxed{\frac{\sqrt{11}}{5}} \]To compute rounded values to the nearest thousandth: - \(\sin A \approx 0.558\)- \(\cos A \approx

Name: ### Finding Trigonometric Ratios**Problem:**Find the sine, cosine, an
Uploaded: 2024-03-20T06:46:55.000Z
Channel: Bartleby
Description: ### Finding Trigonometric Ratios**Problem:**Find the sine, cosine, and tangent of angle \( A \) pictured below. Enter exact expressions or round your answers to the nearest thousandth.**Diagram Description:**The diagram shows a right-angled triangle