Exploring Trigonometric Ratios with a Calculator

This video tutorial by Kirk Weiler covers trigonometry using calculators, focusing on trigonometric ratios like sine, cosine, and tangent. It explains the relationship between these ratios and complementary angles, and demonstrates how to use calculators to find angles and solve problems. The tutorial also provides historical context on trigonometric tables and introduces inverse trigonometric functions for finding angles from given ratios.

What mnemonic is used to remember trigonometric ratios?

• HOCASOTH

• SOHCAHTOA

• COHSATOH

• TOAHSOHC

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

• Adjacent over hypotenuse

• Opposite over adjacent

• Opposite over hypotenuse

• Hypotenuse over opposite

How should the calculator be set for trigonometry problems?

• Radian mode

• Gradient mode

• Scientific mode

• Degree mode

Which angle has a sine value of 0.5?

• 50 degrees

• 20 degrees

• 30 degrees

• 40 degrees

What does the tangent of an angle represent?

• Adjacent over opposite

• Hypotenuse over opposite

• Opposite over adjacent

• Hypotenuse over adjacent

What is the relationship between the sine of angle A and the cosine of its complementary angle C?

• Tangent A = Cosine C

• Sine A = Cosine C

• Sine A = Sine C

• Cosine A = Sine C

Which trigonometric function is used to find an angle when given the opposite and adjacent sides?

• Sine

• Cosine

• Cotangent

• Tangent

How do you set a calculator to find the inverse sine of a ratio?

• Use the sine button directly

• Use the 'INV' or '2nd' function then sine

• Divide the ratio by the sine function

• Multiply the ratio by the sine function

What is the purpose of inverse trig functions?

• To find the hypotenuse of a triangle

• To calculate the ratio of sides in a triangle

• To determine the angle with a given trig ratio

• To convert degrees to radians

What is the measure of angle E if the adjacent side is 8 and the hypotenuse is 11?

• 43 degrees

• 26 degrees

• 34 degrees

• 31 degrees