Final answer:
To find the missing angle of a triangle using trigonometry, follow these steps: identify the known angles and sides, choose an appropriate trigonometric function, and solve for the missing angle using the inverse function.
Step-by-step explanation:
To find the missing angle of a triangle using trigonometry, you can use the trigonometric functions sine, cosine, and tangent. Here are the steps:
- Identify the known angles and sides of the triangle.
- Choose an appropriate trigonometric function based on the given information.
- Plug in the known values and use the inverse function to solve for the missing angle.
For example, if you know the lengths of two sides of a right triangle and want to find the missing angle, you can use the sine function:
sin(angle) = opposite/hypotenuse
Remember to always work in the same units (degrees or radians) for accuracy.