Trigonometric Functions and Ratios

The video tutorial explains how to find the six trigonometric function values for an angle in a right triangle. It begins by introducing the concept using a 3-4-5 triangle and explains the definitions of sine, cosine, and tangent using the acronym SOHCAHTOA. The tutorial then demonstrates how to calculate these functions for the given triangle, followed by an explanation of the reciprocal functions: cosecant, secant, and cotangent.

What is the acronym used to remember the basic trigonometric functions?

• SOHCAHTOA

• Pythagorean

• SINECOSINE

• TRIGON

In a right triangle, if the opposite side is 4 and the hypotenuse is 5, what is the sine of the angle?

• 4/3

• 3/5

• 5/4

• 4/5

For a right triangle with an adjacent side of 3 and a hypotenuse of 5, what is the cosine of the angle?

• 3/5

• 3/4

• 4/5

• 5/3

What is the tangent of an angle if the opposite side is 4 and the adjacent side is 3?

• 3/4

• 4/3

• 4/5

• 5/4

What is the cosecant of an angle if the sine is 4/5?

• 5/3

• 4/5

• 3/5

• 5/4

If the cosine of an angle is 3/5, what is the secant of the angle?

• 5/4

• 4/5

• 3/5

• 5/3