Trigonometric Ratios and Functions

This video tutorial covers basic trigonometry concepts, including sine, cosine, and tangent functions, the Pythagorean theorem, and the quadrant system. It explains special triangles, reference angles, and co-terminal angles, and delves into inverse trigonometric functions and their restricted domains. The tutorial provides examples and exercises to help understand these concepts.

What is the sine ratio in a right triangle?

• Opposite side divided by adjacent side

• Adjacent side divided by hypotenuse

• Hypotenuse divided by opposite side

• Opposite side divided by hypotenuse

In which quadrant are both x and y coordinates negative?

• Quadrant 1

• Quadrant 2

• Quadrant 3

• Quadrant 4

If sin(θ) = 3/5, what is the value of cos(θ) assuming θ is in the first quadrant?

• 5/3

• 1/2

• 3/4

• 4/5

What is the cosine of 60°?

• 1/2

• √3/2

• 0

• 1

What is the value of tan(θ) if cos(θ) = -5/13 and sin(θ) > 0?

• -12/5

• 12/5

• -5/12

• 5/12

What is the reference angle for an angle of 225°?

• 45°

• 135°

• 30°

• 60°

Which special triangle is used to find the sine of 45°?

• 3-4-5 triangle

• 45-45-90 triangle

• 5-12-13 triangle

• 30-60-90 triangle

Which of the following is true about inverse sine?

• It is restricted to quadrants 2 and 3

• It is restricted to quadrants 1 and 4

• It can only be positive

• It can exist in all four quadrants

How do you find a positive co-terminal angle for 390°?

• Add 180°

• Subtract 180°

• Add 360°

• Subtract 360°

What is the inverse cosine of √3/2?

• 60°

• 45°

• 90°

• 30°