How to evaluate the six trig functions when given a constraint and value

The video tutorial explains how to solve a trigonometry problem involving secant and cotangent. It begins by setting up a triangle using the secant value and calculating the third side using the Pythagorean theorem. The instructor discusses the implications of positive and negative roots and how they affect the triangle's configuration. The correct triangle is chosen based on the constraint that cotangent is less than zero. The lesson concludes with final calculations of sine, cosine, and tangent for the chosen triangle.

What does the secant of an angle represent in a right triangle?

• Hypotenuse over adjacent

• Opposite over hypotenuse

• Opposite over adjacent

• Adjacent over hypotenuse

When solving for the sides of a triangle, why must both positive and negative square roots be considered?

• To account for measurement errors

• To ensure all possible triangles are considered

• To simplify calculations

• To avoid using the Pythagorean theorem

Which quadrants allow for a negative cotangent value?

• 2nd and 4th

• 1st and 2nd

• 3rd and 4th

• 1st and 3rd

What is the sine of Theta if the opposite side is -√3 and the hypotenuse is 2?

• -√3/2

• -1/2

• √3/2

• 1/2

How is the tangent of Theta calculated in a right triangle?

• Hypotenuse over opposite

• Adjacent over hypotenuse

• Adjacent over opposite

• Opposite over adjacent