Trigonometric Ratios and Functions

The video tutorial introduces trigonometry, focusing on the relationships between angles and sides in right-angled triangles. It explains the three primary trigonometric ratios: sine, cosine, and tangent, and introduces the mnemonic SOHCAHTOA to remember them. The tutorial explores similar triangles, demonstrating how these ratios remain consistent across triangles with the same angles. It also shows how to use a calculator to find angles using inverse trigonometric functions, providing a practical example to reinforce the concept.

What is the longest side of a right-angled triangle called?

• Adjacent

• Opposite

• Hypotenuse

• Base

Which mnemonic helps remember the trigonometric ratios?

• PEMDAS

• SOH-CAH-TOA

• FOIL

• BODMAS

What remains consistent in similar triangles with the same angles?

• Side lengths

• Area

• Angles

• Trigonometric ratios

If tan(θ) = opposite/adjacent, what is tan(27°) approximately equal to in similar triangles?

• 2

• 0.25

• 0.5

• 1

What function on a calculator helps find an angle when given the tangent ratio?

• tan

• cos

• tan inverse

• sin

How can you find the angle θ if tan(θ) = 0.5?

• Use sin inverse

• Use cos inverse

• Use tan inverse

• Use log

Which trigonometric ratio compares the opposite side with the hypotenuse?

• Sine

• Cosine

• Tangent

• Secant

What is the simplified form of the ratio 12/15?

• 2/3

• 5/6

• 4/5

• 3/4

What is the purpose of using trigonometric ratios in right-angled triangles?

• To find unknown angles

• To find the volume

• To find the area

• To find the perimeter

Which trigonometric ratio would you use if you know the opposite and hypotenuse sides?

• Sine

• Cosine

• Cotangent

• Tangent