Should Calculator Be in Radians or Degrees for Sat

Which Unit Should You Use for SAT Math?

The SAT Math section includes trigonometric problems that require you to evaluate functions like sine, cosine, and tangent. These functions can be calculated using either radians or degrees, but the SAT expects you to use degrees unless specified otherwise.

Most graphing calculators default to radians, which can lead to incorrect answers if you're not paying attention. The SAT test makers specifically state that all trigonometric functions should be evaluated in degrees unless otherwise indicated. This is a critical detail that can make the difference between getting a question right or wrong.

The Difference Between Radians and Degrees

Radians and degrees are two different units for measuring angles. Degrees are the more common unit in everyday life, while radians are more commonly used in advanced mathematics and physics.

Degrees

A full circle is 360 degrees. This is the unit you're most familiar with, as it's used in protractors and compasses. For example, a right angle is 90 degrees.

Radians

A radian is defined as the angle created by taking the radius of a circle and wrapping it around the circumference. A full circle is 2π radians (approximately 6.283 radians).

When to Use Radians vs. Degrees

The choice between radians and degrees depends on the context and the requirements of the problem. Here are some general guidelines:

• Degrees: Use degrees for everyday measurements, such as angles in a triangle or the direction of a compass. Degrees are also commonly used in the SAT Math section.
• Radians: Use radians in advanced mathematics, physics, and engineering. Radians are often used when dealing with calculus, complex numbers, and wave functions.

For the SAT, you should always use degrees unless the problem specifies otherwise. This is a key detail that can affect your score, so make sure to check your calculator settings before starting the test.

SAT-Specific Considerations

The SAT Math section includes trigonometric problems that require you to evaluate functions like sine, cosine, and tangent. These functions can be calculated using either radians or degrees, but the SAT expects you to use degrees unless specified otherwise.

Most graphing calculators default to radians, which can lead to incorrect answers if you're not paying attention. The SAT test makers specifically state that all trigonometric functions should be evaluated in degrees unless otherwise indicated. This is a critical detail that can make the difference between getting a question right or wrong.

Worked Example

Let's look at a sample problem to see how the choice of units affects the answer.

Problem: Evaluate sin(30°).

Solution:

• If your calculator is in degrees mode, sin(30°) = 0.5.
• If your calculator is in radians mode, sin(30) ≈ 0.5 (since 30 radians ≈ 1718.9 degrees).

In this case, both settings give the same result, but this isn't always true. For example, sin(1) is approximately 0.8415 in radians but 0.0175 in degrees. This shows why it's important to pay attention to your calculator settings.