Trigonometric Functions and Identities

The video tutorial covers the application of sum and difference identities in trigonometry, including how to use known angles on the unit circle to solve problems. It explains converting between radians and degrees, recognizing trigonometric formulas, and applying double and half angle formulas. The tutorial also demonstrates solving trigonometric equations using these identities and formulas.

What is the first step in solving a sum or difference equation?

• Find the tangent of the angle.

• Use the Pythagorean theorem.

• Convert angles to radians.

• Identify two angles on the unit circle.

Which angles can be used to express 105 degrees using sum identities?

• 120 degrees and -15 degrees

• 90 degrees and 15 degrees

• 30 degrees and 75 degrees

• 60 degrees and 45 degrees

How do you simplify the expression for cosine using sum identities?

• Add the product of sines to the product of cosines.

• Divide the product of sines by the product of cosines.

• Subtract the product of sines from the product of cosines.

• Multiply the sines and add the cosines.

What is the cosine of 60 degrees?

• √3/2

• 1/2

• 0

• 1

How do you convert radians to degrees?

• Add 180

• Multiply by π/180

• Multiply by 180/π

• Subtract 180

What is the formula for the sine of the sum of two angles?

• sin(A)cos(B) - cos(A)sin(B)

• cos(A)cos(B) + sin(A)sin(B)

• sin(A)cos(B) + cos(A)sin(B)

• cos(A)cos(B) - sin(A)sin(B)

Which quadrant is 3π/4 located in?

• Third quadrant

• Second quadrant

• First quadrant

• Fourth quadrant

What is the cosine of 3π/4?

• 1/2

• -1/2

• -√2/2

• √2/2

What does the formula 'cos(A)cos(B) + sin(A)sin(B)' represent?

• Sine of the sum of two angles

• Sine of the difference of two angles

• Cosine of the sum of two angles

• Cosine of the difference of two angles

What is the double angle formula for tangent?

• 2tan(θ) = tan(2θ)/(1 - tan²(θ))

• tan(2θ) = tan(θ)/(1 - tan²(θ))

• 2tan(θ)/(1 - tan²(θ))

• tan(2θ) = 2tan(θ)/(1 + tan²(θ))