Trigonometric Ratios and Functions

The video tutorial introduces trigonometric ratios using right-angled triangles, explaining sine, cosine, and tangent. It demonstrates how to apply these ratios to find unknown lengths in triangles, even when the angle is known. The tutorial also covers using calculators to evaluate trigonometric ratios, emphasizing the importance of writing degree signs and understanding the calculation process without a calculator.

What is the mnemonic used to remember the trigonometric ratios?

• RIGHT ANGLE RULE

• SINE COSINE TANGENT

• TRIANGLE RATIOS

• SOH CAH TOA

If the opposite side is 5 and the hypotenuse is 13, what is the sine of the angle?

• 5/12

• 12/13

• 13/5

• 5/13

What is the cosine of an angle if the adjacent side is 12 and the hypotenuse is 13?

• 12/13

• 5/13

• 5/12

• 13/12

Which trigonometric ratio is used to find the opposite side when the hypotenuse is known?

• Tangent

• Sine

• Secant

• Cosine

If you know the angle and the opposite side, which ratio helps find the hypotenuse?

• Tangent

• Cosine

• Cosecant

• Sine

What is the value of sine 30 degrees?

• 1

• 0.3

• 0.7

• 0.5

What should you remember to include when writing angles in degrees?

• The degree sign

• The opposite side length

• The hypotenuse length

• The angle name

When dividing by a fraction, what operation can you perform instead?

• Divide by the reciprocal

• Add the fraction

• Multiply by the reciprocal

• Subtract the fraction

How do you rearrange the equation to solve for x in the expression 4/x = 0.5?

• Subtract 0.5

• Add 0.5

• Multiply by x and divide by 0.5

• Multiply by 0.5

What is the result of 4 divided by 0.5?

• 0.5

• 4

• 2

• 8