Trigonometric Functions and Identities

The video tutorial explains how to find the values of all trigonometric functions if one is known, using a right triangle and the Pythagorean theorem. It demonstrates calculating sine, cosine, tangent, and their reciprocals, as well as using inverse functions to find angles. The tutorial emphasizes understanding the method over complex calculations and highlights the importance of reciprocal identities in trigonometry.

What is the main goal when given one trigonometric function?

• To find the angle directly

• To find the values of all other trigonometric functions

• To solve a quadratic equation

• To calculate the area of a triangle

In the example, what is the value of sine theta?

• 1/2

• 3/5

• 5/3

• 4/5

What type of triangle is used to find the other trigonometric functions?

• Equilateral triangle

• Scalene triangle

• Isosceles triangle

• Right angle triangle

Which theorem is used to find the missing side of the triangle?

• Cosine rule

• Tangent rule

• Pythagorean theorem

• Sine rule

What is the length of the missing side calculated using the Pythagorean theorem?

• 3

• 4

• 5

• 6

What is the value of cos theta in the example?

• 3/4

• 3/5

• 5/4

• 4/5

What is the value of tan theta in the example?

• 5/3

• 4/5

• 1/2

• 3/4

What is the reciprocal of sine called?

• Cotangent

• Cosecant

• Secant

• Tangent

What is the reciprocal of cosine called?

• Secant

• Tangent

• Cosecant

• Cotangent

What is the reciprocal of tangent called?

• Secant

• Cosecant

• Cotangent

• Sine