Trigonometric Values and Calculations

This video tutorial explains how to determine exact trigonometric values for sine, cosine, and tangent at specific angles (0°, 30°, 45°, 60°, and 90°) without using a calculator. It covers methods for calculating these values, provides examples of exam questions, and demonstrates how to derive these values using triangle properties. The video also explains the behavior of trigonometric functions as angles approach 0° and 90°.

What are the exact trigonometric values you need to know for specific angles?

• Values for angles 5°, 15°, 25°, 35°, and 45°

• Values for angles 15°, 30°, 45°, 60°, and 75°

• Values for angles 10°, 20°, 30°, 40°, and 50°

• Values for angles 0°, 30°, 45°, 60°, and 90°

How do you calculate the sine value for 30° without a calculator?

• By using the square root of 4 divided by 2

• By using the square root of 2 divided by 2

• By using the square root of 1 divided by 2

• By using the square root of 3 divided by 2

What is the cosine value for 60°?

• Square root of 3 divided by 2

• Square root of 2 divided by 2

• Square root of 1 divided by 2

• Square root of 4 divided by 2

How do you calculate the tangent value for 45°?

• 1

• Square root of 3 divided by 3

• Square root of 2 divided by 2

• Undefined

In a right-angle triangle, which sides are used to calculate cosine?

• Adjacent and hypotenuse

• Opposite and hypotenuse

• Hypotenuse and base

• Opposite and adjacent

What is the sine value for 90°?

• 0

• 1

• Undefined

• Square root of 2 divided by 2

What happens to the cosine value as the angle approaches 0°?

• It approaches infinity

• It approaches 0

• It becomes undefined

• It approaches 1