Trigonometric Functions and Angles

The video tutorial explains how to find the exact value of a trigonometric expression using sum and difference identities. It involves calculating the sum of angles, finding a common denominator, and determining the sine value using both a reference triangle and the unit circle. The tutorial provides a step-by-step approach to solving the expression, ensuring a clear understanding of the process.

What is the initial trigonometric expression given in the problem?

• sine(pi/2) * cosine(pi/3) + cosine(pi/2) * sine(pi/3)

• cosine(pi/3) * sine(pi/2) + sine(pi/3) * cosine(pi/2)

• cosine(pi/2) * sine(pi/3) + sine(pi/2) * cosine(pi/3)

• sine(pi/3) * cosine(pi/2) + cosine(pi/3) * sine(pi/2)

Which identity is used to simplify the given trigonometric expression?

• Sum and Difference Identity

• Double Angle Identity

• Pythagorean Identity

• Half Angle Identity

What are the values of 'a' and 'b' in the expression?

• a = pi/2, b = pi/3

• a = pi/4, b = pi/6

• a = pi/3, b = pi/2

• a = pi/6, b = pi/4

What is the sum of the angles pi/3 and pi/2?

• 5pi/6

• pi

• 2pi/3

• pi/6

What is the least common denominator used to add pi/3 and pi/2?

• 6

• 3

• 2

• 12

In which quadrant is the angle 5pi/6 located?

• Fourth Quadrant

• First Quadrant

• Third Quadrant

• Second Quadrant

What is the reference angle for 5pi/6?

• pi/2

• pi/3

• pi/4

• pi/6

What is the sine value of 5pi/6 using the reference triangle?

• sqrt(3)/2

• 1/2

• sqrt(2)/2

• 1/3

What is the y-coordinate of the point where the terminal side of 5pi/6 intersects the unit circle?

• 1/2

• 1/3

• sqrt(3)/2

• sqrt(2)/2

What is the exact value of the given trigonometric expression?

• 1/2

• 1/3

• sqrt(3)/2

• sqrt(2)/2