Evaluate six trig functions given an equation and creating a right triangle

The video tutorial covers solving homework problems involving trigonometric functions. It begins with an overview of the problems, followed by an explanation of secant and other trigonometric functions. The instructor demonstrates how to create a triangle and use the Pythagorean theorem to find missing sides. The video then guides viewers through evaluating six trigonometric functions and rationalizing expressions. The tutorial emphasizes understanding relationships between functions and simplifying results.

What is the relationship between secant and cosine in trigonometry?

• They are identical.

• They are reciprocals.

• They are equal.

• They are complementary.

Which theorem is used to find the third side of a right triangle when two sides are known?

• Tangent Rule

• Pythagorean Theorem

• Sine Rule

• Cosine Rule

If the hypotenuse is 5 and the adjacent side is 2, what is the length of the opposite side?

• 4

• 3

• sqrt(21)

• sqrt(29)

How do you find the sine of an angle in a right triangle?

• Adjacent over hypotenuse

• Opposite over adjacent

• Opposite over hypotenuse

• Hypotenuse over opposite

What is the cotangent of Theta if the opposite side is sqrt(21) and the adjacent side is 2?

• 2 / 5

• 2 / sqrt(21)

• sqrt(21) / 2

• 5 / 2