Trigonometric Functions and Ratios

This video tutorial explains how to determine all six trigonometric function values using a right triangle. It begins with an introduction to the trigonometric functions related to angle A, identifying the opposite, adjacent, and hypotenuse sides. The tutorial then provides a detailed example using angle B, calculating the sine, cosine, tangent, and their reciprocals, cosecant, secant, and cotangent. The video emphasizes the importance of simplifying fractions, even though the examples provided do not simplify.

What is the primary focus of the video tutorial?

• Determining trigonometric function values using a right triangle

• Solving algebraic equations

• Understanding calculus concepts

• Learning about geometry proofs

Which side is opposite to angle A in the triangle?

• None of the above

• Side C

• Side B

• Side A

What is the length of the hypotenuse in the example focusing on angle B?

• 12 units

• 40 units

• 37 units

• 35 units

How is the sine of angle B calculated?

• Ratio of hypotenuse to opposite side

• Ratio of opposite side to hypotenuse

• Ratio of opposite side to adjacent side

• Ratio of adjacent side to hypotenuse

What is the cosecant of angle B?

• 37/12

• 37/35

• 12/37

• 35/37

How is the cosine of angle B determined?

• Ratio of hypotenuse to adjacent side

• Ratio of adjacent side to hypotenuse

• Ratio of opposite side to hypotenuse

• Ratio of opposite side to adjacent side

What is the secant of angle B?

• 37/12

• 12/37

• 35/12

• 12/35

How is the tangent of angle B calculated?

• Ratio of hypotenuse to adjacent side

• Ratio of opposite side to adjacent side

• Ratio of hypotenuse to opposite side

• Ratio of adjacent side to hypotenuse

What is the cotangent of angle B?

• 12/35

• 35/12

• 37/12

• 12/37

What should be done if a fraction can be simplified?

• Leave it as it is

• Simplify it

• Multiply it by 2

• Divide it by 2