Trigonometric Functions and Inequalities

The video tutorial introduces trigonometric inequalities and demonstrates solving them using graphing techniques. It covers various inequalities involving tan, secant, and cotangent functions, providing step-by-step solutions and encouraging viewers to engage with the material by solving additional problems.

What is the main focus of the video series introduced by the teacher?

• Geometric transformations

• Trigonometric equations

• Trigonometric inequalities

• Algebraic inequalities

Which trigonometric inequality is NOT mentioned in the overview?

• tan X > sqrt(X)

• cos^2 X > 1/2

• sin^2 X <= 3/4

• sec X < sqrt(3)

What is the period of the tan X function?

• 360 degrees

• 180 degrees

• 90 degrees

• 270 degrees

In which quadrants is tan X positive?

• Quadrants 1 and 3

• Quadrants 3 and 4

• Quadrants 2 and 3

• Quadrants 1 and 2

What is the value of secant X when secant squared X equals 4?

• 4

• sqrt(2)

• 1

• 2

What is the reciprocal of the cosine function?

• Cotangent

• Secant

• Tangent

• Sine

What is the value of cos X when secant X is less than sqrt(2)?

• 2

• 1/sqrt(2)

• 1/2

• sqrt(2)

What is the angle in radians for which cos X equals 1/sqrt(2)?

• π/6

• π/4

• π/3

• π/2

What is the approximate value of X when tan X equals sqrt(2)?

• 2.094

• 0.955

• 1.047

• 1.570

What is the reciprocal of the tangent function?

• Cosine

• Secant

• Sine

• Cotangent