Trigonometric Functions and Identities

The video tutorial covers solving trigonometric equations, focusing on cosine, sine, and tangent functions. It explains using inverse functions, double angle identities, and sum to product identities. The instructor provides step-by-step solutions and emphasizes checking solutions with a calculator. The session concludes with homework instructions and test preparation tips.

What is the reciprocal of secant?

• Cosecant

• Tangent

• Cosine

• Sine

In which quadrant is sine positive?

• Quadrant IV

• Quadrant I

• Quadrant II

• Quadrant III

What is the inverse sine of 1/4 rounded to the nearest tenth of a degree?

• 14.5 degrees

• 15.0 degrees

• 13.5 degrees

• 16.0 degrees

Which identity is used to solve 1 - sine = cosine 2 theta?

• Reciprocal Identity

• Double Angle Identity

• Pythagorean Identity

• Sum-to-Product Identity

What is the solution for sine theta = 0 in degrees?

• 0 and 360

• 0 and 180

• 180 and 360

• 90 and 270

Which identity is best for solving sine 3x + sine 2x?

• Sum-to-Product Identity

• Double Angle Identity

• Reciprocal Identity

• Pythagorean Identity

What is the first step in solving an equation with an inverse trigonometric function?

• Use a calculator

• Convert to radians

• Solve for the value on the unit circle

• Solve for the angle

What is the tangent of pi/6?

• sqrt(3)

• 1/2

• sqrt(3)/3

• 1

How do you solve for x in the equation x - 1 = sqrt(3)/3?

• Multiply by 3

• Subtract 1

• Add 1

• Divide by 3

What is the common denominator when subtracting pi/2 and pi/6?

• 6

• 3

• 2

• 12