Trigonometric Functions and Applications

The video introduces Trigonometry Park, explaining trigonometry's relationship with triangle sides and angles. It covers the Pythagoras Theorem, demonstrating calculations with a right-angled triangle. Real-time applications are shown by measuring angles and distances, such as a street light's placement. The video explores trigonometric functions like sine, cosine, and tangent, and their values at various angles. It also discusses reciprocal identities and trigonometric formulas. A Super Hexagon model is used to help remember these concepts, making it useful for math exhibitions.

What is the primary focus of trigonometry?

• The study of algebraic equations

• The relationship between the sides and angles of a triangle

• The calculation of area and volume

• The study of circles

Which theorem is used to relate the sides of a right triangle?

• Fundamental Theorem of Calculus

• Pythagorean Theorem

• Fermat's Last Theorem

• Binomial Theorem

If one side of a right triangle is 3 and the other is 4, what is the hypotenuse?

• 7

• 8

• 6

• 5

How can trigonometry be applied in real life?

• To measure the height of a building

• To find the volume of a container

• To determine the weight of an object

• To calculate the speed of a car

What is the value of sin(30°)?

• 0.866

• 0

• 1

• 0.5

What is the value of cos(90°)?

• 0.866

• 0

• 1

• 0.5

What is the value of tan(45°)?

• 1

• √3

• 0

• 0.5

What is the value of sin(0°)?

• √3/2

• 0.5

• 1

• 0

What is the value of cos(60°)?

• 1

• 0

• 0.5

• 0.866

What is the value of sin(90°)?

• 0.5

• 0

• √3/2

• 1