Trigonometric Ratios and Functions

This video tutorial introduces the three main trigonometric functions: sine, cosine, and tangent. It explains their formulas using a right triangle and demonstrates how to prove the identity sin(theta)/cos(theta) = tan(theta). The video also introduces the mnemonic SOHCAHTOA to help remember the trigonometric ratios and applies these concepts to a right triangle with specific side lengths.

Which side of the triangle is opposite to Theta?

• The side opposite to Theta

• The side adjacent to Theta

• The base

• The hypotenuse

What is the formula for sine of Theta?

• Hypotenuse by Adjacent

• Adjacent by Hypotenuse

• Opposite by Adjacent

• Opposite by Hypotenuse

How is the cosine of Theta written?

• COS of Theta

• SIN of Theta

• TAN of Theta

• COT of Theta

What is the ratio for the tangent of Theta?

• Hypotenuse by Adjacent

• Opposite by Adjacent

• Adjacent by Hypotenuse

• Opposite by Hypotenuse

What is the relationship between sin Theta and cos Theta?

• sin Theta equals cos Theta

• sin Theta divided by cos Theta equals tan Theta

• cos Theta divided by sin Theta equals tan Theta

• sin Theta multiplied by cos Theta equals tan Theta

What mnemonic is used to remember the trigonometric formulas?

• SOHCAHTAN

• SOAKATWA

• SOHCAHTOA

• SOKATWA

In the mnemonic SOA, what does 'S' stand for?

• Square

• Side

• Secant

• Sine

If the side opposite to Theta is 3 units and the hypotenuse is 5 units, what is sin Theta?

• 4/5

• 3/5

• 3/4

• 5/3

For a right triangle with sides 3, 4, and 5 units, what is cos Theta?

• 5/4

• 3/4

• 4/5

• 3/5

What is tan Theta if the opposite side is 3 units and the adjacent side is 4 units?

• 3/4

• 4/3

• 3/5

• 5/4