Master evaluating the six trig functions when given an equation to draw a triangle

The video tutorial demonstrates how to sketch a right triangle based on given information and evaluate the six trigonometric identities: sine, cosine, tangent, cosecant, secant, and cotangent. It explains the relationships between these functions and how to use the Pythagorean theorem to find missing side lengths. The tutorial also covers rationalizing denominators and provides examples to illustrate the evaluation of trigonometric functions.

What is the sine of an angle in a right triangle defined as?

• Adjacent over hypotenuse

• Opposite over hypotenuse

• Adjacent over opposite

• Hypotenuse over opposite

Which trigonometric function is the reciprocal of cosine?

• Sine

• Tangent

• Cosecant

• Secant

What theorem is used to find the missing side lengths in a right triangle?

• Cosine rule

• Pythagorean theorem

• Sine rule

• Tangent theorem

If the opposite side is 3 and the hypotenuse is 4, what is the sine of the angle?

• 3/5

• 4/3

• 3/4

• 5/3

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

• Subtract the square root from the denominator

• Multiply by the square root over itself

• Divide by the square root

• Add the square root to the numerator

What is the tangent of an angle if the opposite side is 2 and the adjacent side is 3?

• 1/2

• 2/3

• 3/2

• 3/1

What is the cosecant of an angle if the sine is 3/4?

• 4/3

• 3/4

• 1/3

• 4/1