Find the value of a Trigonometric problem 2.

To solve problems involving trigonometric ratios of standard angles using "pi" (π), you can follow these steps:

Understand the trigonometric ratios: The trigonometric ratios of the standard angles (0°, 30°, 45°, 60°, and 90°) are commonly referred to as "special angles." Familiarize yourself with the values of sine, cosine, and tangent for these angles.

Convert degrees to radians: Since π is often used in radians, you may need to convert degrees to radians if the given angle is in degrees. Remember that π radians is equivalent to 180 degrees. Use the conversion factor π/180 to convert degrees to radians.

Apply the appropriate trigonometric ratio: Once you have the angle in radians, determine which trigonometric ratio you need to use (sine, cosine, or tangent) based on the given problem.

Use the value of π: For some trigonometric ratios involving special angles, you can express the answer using π. For example, if you're asked to find the cosine of 45 degrees, you can use the fact that cos(π/4) = 1/√2. Similarly, sin(30°) = 1/2 and sin(60°) = √3/2.

Simplify and solve: Use the given angle and the appropriate trigonometric ratio to calculate the value. Simplify the expression if necessary, and provide the final answer.

Remember to keep track of the units (degrees or radians) throughout the calculations to ensure consistency.

By using these steps, you can solve problems involving trigonometric ratios of standard angles using π.