Trigonometric Functions and Angles

Anil Kumar reviews trigonometric ratios and demonstrates how to find angles given these ratios. The video covers solving trigonometric equations using special triangles and the CAST rule. It provides solutions for two parts, each involving different trigonometric equations. The video aims to enhance understanding of trigonometric concepts and problem-solving techniques.

What is the main objective of the video tutorial?

• To practice basic arithmetic operations

• To explore the history of trigonometry

• To understand how to find angles using trigonometric ratios

• To learn how to solve quadratic equations

Which two tools are essential for solving the given trigonometric problem?

• Logarithms and exponents

• Sine and cosine laws

• CAST rule and special triangles

• Pythagorean theorem and unit circle

What are the side lengths of the special triangle discussed in the video?

• 2, 2, 2√2

• 1, √3, 2

• 1, 2, √5

• 1, 1, √2

What is the relationship between the sides of the special triangle used in the video?

• 1:1:√2

• 1:2:√5

• 1:√3:2

• 1:1:1

In which quadrants is sine negative according to the CAST rule?

• Quadrants 3 and 4

• Quadrants 2 and 3

• Quadrants 1 and 2

• Quadrants 1 and 4

What is the significance of the CAST rule in trigonometry?

• It determines the sign of trigonometric functions in different quadrants

• It is a method for graphing functions

• It is used to calculate the area of triangles

• It helps in solving quadratic equations

Which quadrant is associated with all positive trigonometric functions?

• Quadrant 1

• Quadrant 2

• Quadrant 3

• Quadrant 4

What is the principal angle for sin(θ) = -√3/2?

• 240°

• 120°

• 60°

• 300°

What is the acute angle β for sin(θ) = -√3/2?

• 60°

• 90°

• 45°

• 30°

Which of the following is a solution for sin(θ) = -√3/2?

• 60°

• 120°

• 300°

• 240°