Trigonometric Functions and Identities

The video tutorial guides students through evaluating the six trigonometric functions by identifying the sides of a triangle: hypotenuse, opposite, and adjacent. It explains how to use the Pythagorean theorem to find missing sides and calculate sine, cosine, and tangent ratios. The tutorial also covers rationalizing denominators and finding reciprocal functions like cosecant, secant, and cotangent.

What is the primary task when evaluating trigonometric functions?

• Finding angles

• Measuring lengths

• Writing ratios

• Calculating areas

Which sides of a triangle are involved in trigonometric functions?

• Radius, diameter, and circumference

• Length, width, and height

• Hypotenuse, opposite, and adjacent

• Base, height, and diagonal

What is the first step in evaluating trigonometric functions?

• Finding the hypotenuse

• Finding the angle

• Finding the adjacent side

• Finding the opposite side

How do you identify the adjacent side in a right triangle?

• It is the shortest side

• It connects the angle and the 90-degree angle

• It is opposite the angle

• It is the longest side

What theorem is used to find a missing side of a triangle?

• Area formula

• Cosine rule

• Sine rule

• Pythagorean theorem

What is the formula for the Pythagorean theorem?

• a + b = c^2

• a^2 + b^2 = c^2

• a^2 - b^2 = c^2

• a^2 + b^2 = c

What is the value of x if 7^2 = 6^2 + x^2?

• x = √13

• x = 6

• x = 13

• x = 5

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

• Adjacent over hypotenuse

• Opposite over hypotenuse

• Opposite over adjacent

• Hypotenuse over opposite

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

• Adjacent over hypotenuse

• Opposite over adjacent

• Opposite over hypotenuse

• Hypotenuse over opposite

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

• Opposite over adjacent

• Adjacent over hypotenuse

• Hypotenuse over opposite

• Opposite over hypotenuse