Trigonometric Functions and Right Triangles

The video tutorial guides students through solving a trigonometry problem involving a point on the terminal side of an angle. It covers graphing the point, constructing a right triangle, applying the Pythagorean theorem, and calculating trigonometric functions. The tutorial emphasizes understanding the relationship between the angle and the right triangle, focusing on sine, cosine, and tangent calculations.

What is the significance of the point (-7, -5) in the context of the angle theta?

• It is the midpoint of the hypotenuse.

• It is a point on the terminal side of theta.

• It is the origin of the graph.

• It is the endpoint of the hypotenuse.

How do you determine the sides of the right triangle from the point (-7, -5)?

• By drawing a circle around the point.

• By using the midpoint formula.

• By using the distance formula.

• By measuring the distance from the point to the x-axis and y-axis.

What is the formula used to find the hypotenuse of the right triangle?

• a^2 - b^2 = 2c

• a^2 + b^2 = 2c

• a^2 - b^2 = c^2

• a^2 + b^2 = c^2

What is the length of the hypotenuse in the triangle formed?

• Square root of 49

• Square root of 25

• Square root of 74

• Square root of 100

How is angle alpha related to angle theta?

• Alpha is the same as theta but within a right triangle.

• Alpha is half the size of theta.

• Alpha is unrelated to theta.

• Alpha is twice the size of theta.

What is the sine of angle theta in terms of the triangle's sides?

• Hypotenuse over opposite

• Opposite over hypotenuse

• Adjacent over opposite

• Adjacent over hypotenuse

What is the cosine of angle theta in terms of the triangle's sides?

• Hypotenuse over opposite

• Adjacent over opposite

• Adjacent over hypotenuse

• Opposite over hypotenuse

How is the tangent of angle theta calculated?

• Adjacent over opposite

• Opposite over adjacent

• Adjacent over hypotenuse

• Hypotenuse over opposite

What is the reciprocal of the sine function called?

• Secant

• Tangent

• Cosecant

• Cotangent

What is the reciprocal of the cosine function called?

• Tangent

• Secant

• Cotangent

• Cosecant