Given an equation evaluate for the six trig functions using a right triangle

The video tutorial covers the calculation of trigonometric functions using a triangle. It begins with a review of cosine and the setup of a triangle, followed by the application of the Pythagorean theorem to find missing side lengths. The instructor then demonstrates how to simplify radicals and calculate sine, tangent, and their reciprocals. The session concludes with a focus on rationalizing denominators and preparing for homework assignments.

What is the first step in finding the remaining trigonometric functions when given the cosine value?

• Use the sine rule to find the opposite side.

• Calculate the tangent directly.

• Find the hypotenuse using the sine value.

• Determine the opposite side using the Pythagorean theorem.

How is the unknown side length calculated using the Pythagorean theorem?

• By subtracting the square of the adjacent side from the square of the hypotenuse.

• By adding the squares of the hypotenuse and adjacent sides.

• By dividing the hypotenuse by the adjacent side.

• By multiplying the hypotenuse and adjacent sides.

Why is it important to simplify radicals in this context?

• To make the calculations more complex.

• To ensure the side lengths are integers.

• To make the expressions easier to work with.

• To avoid using the Pythagorean theorem.

What is the sine of Theta if the opposite side is 4√6 and the hypotenuse is 11?

• 4/11

• 11/4√6

• 4√6/11

• 5/11

How do you rationalize the denominator of a trigonometric function?

• By multiplying the numerator and denominator by the same radical.

• By adding a constant to the denominator.

• By subtracting the radical from the numerator.

• By dividing the numerator by the radical.