Sketch a triangle given a trig angle then determine remaining trig functions of angle

The video tutorial explains how to evaluate all six trigonometric functions given the tangent of an angle in a right triangle. It covers the use of the Pythagorean theorem to find the hypotenuse and demonstrates how to calculate sine, cosine, and their reciprocals, including rationalizing denominators. The tutorial provides a step-by-step approach to understanding the relationships between the sides of a triangle and trigonometric functions.

What is the relationship between the sides of a triangle and the tangent function?

• Tangent is the ratio of the adjacent side to the hypotenuse.

• Tangent is the sum of the opposite and adjacent sides.

• Tangent is the ratio of the opposite side to the adjacent side.

• Tangent is the ratio of the hypotenuse to the opposite side.

Which theorem is used to calculate the hypotenuse of a right triangle?

• Tangent Rule

• Pythagorean Theorem

• Cosine Rule

• Sine Rule

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

• Multiply by the square root of the numerator.

• Multiply by the square root of the denominator.

• Add the square root of the denominator.

• Subtract the square root of the numerator.

What is the reciprocal of the sine function called?

• Secant

• Tangent

• Cosecant

• Cotangent

What is the value of cotangent if tangent is 1/2?

• 1/2

• 2

• 5

• 1