Tangent Values and Calculations

Jimmy Chang explains how to convert angles to tangent values using the tangent formula. He provides a detailed example with 30 degrees, demonstrating the calculation process and rationalizing the denominator. He concludes with advice on using calculators for uncommon angles.

What is the relationship between angles and tangents?

• Angles and tangents work well together.

• Angles are the inverse of tangents.

• Tangents are always greater than angles.

• They are unrelated.

What is the formula used to find the tangent of an angle?

• Secant of the angle

• Tangent of theta

• Cosine of the angle

• Sine of the angle

What is the first step in converting an angle to a tangent value?

• Plug the angle into the tangent formula

• Use a calculator

• Find the cosine of the angle

• Find the sine of the angle

How do you find the tangent value of 30°?

• Use a calculator

• Memorize the value

• Use the tangent formula

• Estimate the value

What is the sine of 30°?

• 0

• √3/2

• 1/2

• 1

What is the cosine of 30°?

• √3/2

• 0

• 1/2

• 1

What is the tangent of 30° before rationalizing the denominator?

• 1/√3

• √3

• 1

• 0

Why should you rationalize the denominator in trigonometry?

• To increase accuracy

• To simplify the numerator

• To avoid radicals in the denominator

• To make calculations easier

What do you multiply by to rationalize the denominator of 1/√3?

• √3

• 2

• 1

• 3

What is the tangent of 30° after rationalizing the denominator?

• 3/√3

• √3/3

• 1

• 1/3