Trigonometric Ratios and Equivalent Angles

The video tutorial by Amal Kumar explains how to find equivalent trigonometric ratios for angles between 0 and 360 degrees. It covers the CAST rule to determine the sign of trigonometric functions in different quadrants and how to find related acute angles. The tutorial provides step-by-step solutions for sine 210 degrees, cosine -200 degrees, and cotangent 45 degrees, emphasizing the importance of understanding quadrant signs and acute angles to derive equivalent ratios.

What is the main focus of the practice question introduced by Amal Kumar?

• Finding equivalent trigonometric ratios

• Learning about geometric shapes

• Solving quadratic equations

• Understanding calculus concepts

What does the CAST rule help determine?

• The length of a hypotenuse

• The sign of trigonometric functions

• The area of a triangle

• The quadrant of an angle

In which quadrant is the angle 210 degrees located?

• Quadrant I

• Quadrant II

• Quadrant IV

• Quadrant III

What is the related acute angle for sine of 210 degrees?

• 45 degrees

• 90 degrees

• 60 degrees

• 30 degrees

Which of the following is an equivalent trigonometric ratio for sine of 210 degrees?

• -cos(30 degrees)

• cos(30 degrees)

• -sin(30 degrees)

• sin(30 degrees)

Which quadrant is associated with a negative sine value for 210 degrees?

• Quadrant IV

• Quadrant I

• Quadrant II

• Quadrant III

What is the equivalent angle for sine 210 degrees in Quadrant IV?

• 210 degrees

• 30 degrees

• 330 degrees

• 150 degrees

What is the equivalent angle for sine 210 degrees in Quadrant II?

• 330 degrees

• 210 degrees

• 150 degrees

• 30 degrees

What is the equivalent angle for sine 210 degrees in Quadrant I?

• 210 degrees

• 330 degrees

• 150 degrees

• 30 degrees

What is the equivalent angle for sine 210 degrees in Quadrant III?

• 330 degrees

• 30 degrees

• 210 degrees

• 150 degrees