Find the exact value using difference formula of two angles with sine

The video tutorial covers the use of the unit circle and calculators for finding exact values in trigonometry. It explains the concept of sum and difference angles and how to apply the sine formula for these angles. The tutorial also demonstrates simplifying trigonometric expressions using algebra and addresses common mistakes in calculations. The focus is on understanding the formulas and applying them correctly to find exact values without relying on calculators.

Why might using a calculator for trigonometric values be problematic?

• It cannot calculate sine and cosine.

• It provides exact values.

• It only works for angles in radians.

• It gives approximate values that need rounding.

What are the angles commonly used in the unit circle?

• 0, 45, 90, 135

• 30, 45, 60, 90

• 15, 30, 45, 60, 75

• 10, 20, 30, 40

How can 15 degrees be expressed using known angles?

• As the sum of 60 and 30 degrees

• As the difference of 45 and 30 degrees

• As the difference of 60 and 45 degrees

• As the sum of 30 and 45 degrees

In the sine formula for sum and difference, what is the correct sign for sine of U - V?

• Minus and Plus

• Plus and Minus

• Minus

• Plus

What is the sine of 45 degrees?

• 1/2

• sqrt(3)/2

• sqrt(2)/2

• 1

What is the simplified form of sqrt(6)/4 - sqrt(2)/4?

• sqrt(6) - sqrt(2)/4

• sqrt(6) + sqrt(2)/4

• sqrt(6) - 2/4

• sqrt(6) + 2/4

What common factor can be factored out from sqrt(6)/4 - sqrt(2)/4?

• 4

• sqrt(2)

• sqrt(3)

• 2