Trigonometric Ratios and Functions

The video tutorial explains how to find the six trigonometric ratios for an angle theta whose terminal side passes through the point (-5, 9). It begins with an introduction to the concept, followed by drawing a right triangle to visualize the problem. The hypotenuse is calculated using the Pythagorean theorem. The tutorial then demonstrates how to find sine, cosine, tangent, and their reciprocals. The process is summarized by emphasizing the importance of drawing the triangle and labeling its sides correctly.

What is the first step in finding the six trigonometric ratios for an angle?

• Calculate the hypotenuse of the triangle.

• Identify the terminal side of the angle.

• Draw the initial side of the angle.

• Find the reciprocal of the sine.

What does the terminal side of an angle represent?

• The length of the hypotenuse.

• The reciprocal of the tangent.

• The direction in which the angle opens.

• The starting point of the angle.

Which of the following is NOT a trigonometric ratio?

• Sine

• Cosecant

• Cotangent

• Hypotenuse

What is the purpose of drawing an altitude to the x-axis?

• To find the length of the hypotenuse.

• To create a right triangle for calculating ratios.

• To determine the angle of rotation.

• To calculate the reciprocal of cosine.

How is the hypotenuse of the triangle calculated?

• By dividing the opposite side by the adjacent side.

• By using the Pythagorean theorem.

• By subtracting the opposite side from the adjacent side.

• By adding the lengths of the opposite and adjacent sides.

What is the sine of an angle in a right triangle?

• Hypotenuse over opposite

• Adjacent over hypotenuse

• Adjacent over opposite

• Opposite over hypotenuse

What is the reciprocal of the sine function?

• Cotangent

• Cosecant

• Tangent

• Secant

Which trigonometric ratio is calculated as opposite over adjacent?

• Tangent

• Secant

• Cosine

• Sine

What is the relationship between secant and cosine?

• Secant is the inverse of cosine.

• Secant is the same as cosine.

• Secant is the reciprocal of cosine.

• Secant is the square of cosine.

What should you do after drawing the altitude to the x-axis?

• Label the sides of the triangle.

• Calculate the angle of rotation.

• Determine the initial side of the angle.

• Find the reciprocal of tangent.