How to use the difference of two angles to evaluate for the sine of an angle

The video tutorial explains how to calculate the sine of 15 degrees, initially using a calculator and rounding the result. It then transitions to finding the exact value using the difference formula for sine, breaking down the process into steps. The instructor emphasizes the importance of understanding the unit circle for evaluating trigonometric functions and presents different mathematical representations of the result. The tutorial aims to equip students with the skills to find both approximate and exact values of trigonometric functions.

What is the approximate value of sine 15 degrees when rounded to the nearest thousandth?

• 0.261

• 0.260

• 0.259

• 0.258

Which formula can be used to find the exact value of sine 15 degrees?

• Sum formula for sine

• Quotient formula for sine

• Difference formula for sine

• Product formula for sine

How can sine 15 degrees be expressed using the difference of two angles?

• Sine of 60 degrees minus 45 degrees

• Sine of 45 degrees minus 30 degrees

• Sine of 30 degrees minus 15 degrees

• Sine of 90 degrees minus 75 degrees

What is the value of sine 45 degrees according to the unit circle?

• sqrt(2)/2

• 1/2

• 1

• sqrt(3)/2

Which of the following is a correct representation of the exact value of sine 15 degrees?

• sqrt(6)/4 - sqrt(2)/4

• sqrt(2)/2 + sqrt(3)/2

• sqrt(3)/4 + sqrt(2)/4

• sqrt(2)/4 - sqrt(6)/4