Trigonometric Identities and Functions

What is the first step suggested in the video to solve the initial trigonometric equation?

• Multiply by the conjugate of the denominator

• Convert to radians

• Add the fractions directly

• Use a calculator

What identity is used to simplify 1 - sin²(theta)?

• sin²(theta)

• tan²(theta)

• cos²(theta)

• sec²(theta)

In which quadrants is cosine positive?

• Second and third

• First and second

• First and fourth

• Third and fourth

What substitution is made for secant squared X in the second equation?

• tan²(X) + 1

• sin²(X) + 1

• cot²(X) + 1

• cos²(X) + 1

Which reference angle is associated with a tangent value of -1?

• 60 degrees

• 90 degrees

• 30 degrees

• 45 degrees

What tool is suggested for solving tan(X) = 3?

• Ruler

• Scientific calculator

• Protractor

• Graphing calculator

What identity is used to replace sin(2X) in the double angle equation?

• 1 - 2 sin²(X)

• 2 sin(X) cos(X)

• 2 cos²(X) - 1

• sin²(X) - cos²(X)

Which identity is chosen for cos(2X) to simplify the equation?

• 2 cos²(X) - 1

• 2 sin(X) cos(X)

• cos²(X) - sin²(X)

• 1 - 2 sin²(X)

What is the result when dividing sin(X) by cos(X)?

• tan(X)

• csc(X)

• sec(X)

• cot(X)

Which angles on the unit circle have a cosine value of zero?

• 0 and π

• π/2 and 3π/2

• π/4 and 5π/4

• π/3 and 4π/3