Find the value of a Trigonometric problem.

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

Understand the problem: Read the problem carefully and identify the given information and what you're asked to find.

Recall the standard angles: In trigonometry, the standard angles are 0°, 30°, 45°, 60°, and 90°. Familiarize yourself with the trigonometric ratios (sine, cosine, and tangent) associated with these angles.

Convert degrees to radians: Since π (pi) is often used in radians, convert the given degree measures to radians if necessary. Recall that π radians is equal to 180°.

Determine the angle: Identify which standard angle is involved in the problem based on the given information.

Apply the appropriate trigonometric ratio: Use the trigonometric ratio (sine, cosine, or tangent) corresponding to the given angle to calculate the value you're asked to find. You can use the mnemonic "SOH-CAH-TOA" to remember the trigonometric ratios:

Sine (sin) = Opposite/Hypotenuse
Cosine (cos) = Adjacent/Hypotenuse
Tangent (tan) = Opposite/Adjacent
Perform the calculations: Substitute the values into the trigonometric ratio equation and calculate the result.

Check units: Make sure your answer has the correct units (if applicable) and matches the requirements of the problem.

Verify and simplify if needed: Double-check your calculations and simplify the result if necessary.

Remember to pay attention to the given information, units, and any specific instructions provided in the problem. Practice using trigonometric ratios for standard angles, and you'll become more comfortable solving problems involving them using π.