Evaluate the six trigonometric functions given a right triangle

The video tutorial covers the six trigonometric functions, explaining their role as comparisons between sides of a triangle. It demonstrates using the Pythagorean theorem to find missing sides and evaluates sine, cosine, and tangent for specific angles. The tutorial emphasizes the importance of simplifying trigonometric ratios and rationalizing denominators. It also introduces reciprocal trigonometric functions, such as cosecant, secant, and cotangent, and explains their calculations.

What is the primary purpose of trigonometric functions?

• To measure angles

• To compare the sizes of triangle sides

• To calculate area

• To find the perimeter

Which theorem is used to find the missing side of a triangle?

• Pythagorean theorem

• Cosine rule

• Sine rule

• Tangent theorem

Why is it important to know the angle you are referring to when using trigonometric functions?

• Because angles affect the length of sides

• Because angles determine the type of triangle

• Because different angles have different trigonometric values

• Because angles change the area of the triangle

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

• Adjacent over hypotenuse

• Opposite over adjacent

• Opposite over hypotenuse

• Hypotenuse over opposite

What is the expectation regarding the simplification of trigonometric ratios?

• Ratios should be left as they are

• Ratios should be converted to decimals

• Ratios should be expressed in terms of pi

• Ratios should be simplified with no radicals in the denominator

What is the reciprocal of the sine function called?

• Secant

• Cosecant

• Cotangent

• Tangent

How do you rationalize a denominator that contains a square root?

• Multiply by the square root

• Divide by the square root

• Multiply by the conjugate

• Add the square root