Evaluating the six trigonometric functions given a right triangle

The video tutorial covers the six trigonometric functions and their relation to the sides of a triangle: hypotenuse, opposite, and adjacent. It explains how to identify these sides and use the Pythagorean theorem to find a missing side. The tutorial then demonstrates how to calculate the sine, cosine, and tangent ratios, and rationalize denominators. Finally, it discusses the reciprocal trigonometric functions: cosecant, secant, and cotangent.

Which sides of a triangle are involved in defining the six trigonometric functions?

• Base, height, and hypotenuse

• Hypotenuse, opposite, and adjacent

• Adjacent, opposite, and base

• Height, base, and opposite

What theorem is used to find the missing side of a triangle when two sides are known?

• Pythagorean theorem

• Sine rule

• Cosine rule

• Tangent theorem

If the hypotenuse is 7 and one side is 6, what is the length of the missing side using the Pythagorean theorem?

• 13

• √13

• 5

• √49

What is the sine of Theta in terms of the sides of a triangle?

• Opposite over adjacent

• Opposite over hypotenuse

• Hypotenuse over opposite

• Adjacent over hypotenuse

What is the reciprocal of the cosine function called?

• Secant

• Cosecant

• Tangent

• Cotangent