Master given an equation and constraint, evaluate the six trig functions

The video tutorial explains how to evaluate six trigonometric functions given a function and a constraint. It covers understanding the role of quadrants and signs in determining the values of sine and cosine. The tutorial demonstrates how to use triangles to evaluate trigonometric functions and calculate reciprocal functions. An example problem is solved to illustrate the process, emphasizing the importance of understanding constraints and rationalizing denominators.

In which quadrants is the sine of an angle positive?

• First and second quadrants

• Second and third quadrants

• First and fourth quadrants

• Third and fourth quadrants

When creating a triangle to evaluate trigonometric functions, which side is negative if the sine is positive?

• None of the sides

• Opposite side

• Hypotenuse

• Adjacent side

What is the hypotenuse if the opposite side is 2 and the adjacent side is -3?

• 4

• 3

• 5

• √13

How do you rationalize the denominator of a fraction with a square root?

• Divide by the square root

• Subtract the square root from the denominator

• Multiply by the square root over itself

• Add the square root to the numerator

What is the reciprocal of the sine function called?

• Secant

• Cosecant

• Cotangent

• Tangent

If the tangent of an angle is 4/3, what is the cotangent?

• 4/3

• 3/4

• 5/4

• 1

In the example with a constraint where cosine is negative, what is the hypotenuse if the sides are -3 and -4?

• 5

• 6

• √13

• 7