Given an angle and constraint find the six trig functions of the angle

The video tutorial explains how to evaluate Theta when the cosine of Theta equals -4/5, with Theta in the third quadrant. It covers the importance of quadrant placement, the definition of cosine in terms of triangles and coordinate points, and the use of the Pythagorean theorem to find missing triangle sides. The tutorial concludes with calculating the six trigonometric functions for the given scenario.

In which quadrant is Theta located when the cosine of Theta is negative?

• First Quadrant

• Second Quadrant

• Fourth Quadrant

• Third Quadrant

What does the cosine of Theta represent in a right triangle?

• Opposite side over hypotenuse

• Adjacent side over hypotenuse

• Hypotenuse over adjacent side

• Opposite side over adjacent side

When constructing a triangle in the third quadrant, what is the sign of the sine value?

• Undefined

• Zero

• Negative

• Positive

Using the Pythagorean theorem, if one leg of a triangle is 4 and the hypotenuse is 5, what is the length of the other leg?

• 3

• 4

• 5

• 2

What is the value of the tangent function for Theta in the third quadrant?

• 3/4

• -3/4

• 4/3

• -4/3