Trigonometric Functions in Right Triangles

The video tutorial reviews how to find the six trigonometric functions of a given angle in a right triangle. It begins with an introduction to trigonometric functions and a review of right triangles and the Pythagorean theorem. The tutorial then explains how to identify the hypotenuse, adjacent, and opposite sides of a triangle. It proceeds to calculate the trigonometric functions using these sides and simplifies the trigonometric ratios, including understanding their inverses. The video concludes with final calculations and a summary of the trigonometric functions.

What is the primary goal of the video tutorial?

• To discuss the applications of calculus

• To teach how to solve quadratic equations

• To explain the history of trigonometry

• To demonstrate the six trigonometric functions of a given angle

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

• Fundamental theorem of calculus

• Remainder theorem

• Binomial theorem

• Pythagorean theorem

In a right triangle, which side is opposite the 90° angle?

• Adjacent side

• Opposite side

• Hypotenuse

• Base

What is the formula for the Pythagorean theorem?

• a^2 - b^2 = c^2

• a^2 + b^2 = c^2

• a^2 = b^2 + c^2

• a^2 + b^2 = 2c

Which trigonometric function is defined as opposite over hypotenuse?

• Cosine

• Tangent

• Sine

• Secant

What is the reciprocal of the sine function?

• Cosecant

• Tangent

• Secant

• Cotangent

How is the cosine function calculated in a right triangle?

• Opposite over hypotenuse

• Adjacent over hypotenuse

• Opposite over adjacent

• Hypotenuse over opposite

What is the value of the tangent function for the given triangle?

• 1/3

• 2/3

• 1/2

• 3/4

Which function is the reciprocal of the cosine function?

• Tangent

• Cosecant

• Secant

• Cotangent

What is the simplified value of the cosecant function for the given triangle?

• 3/2

• 1/3

• 2/3

• 3