Trigonometric Functions and Right Triangles

The video tutorial explains how to identify and work with right-angled triangles, focusing on finding unknown angles and sides using trigonometric ratios such as sine, cosine, and tangent. It covers labeling triangle sides based on the angle of interest and demonstrates solving problems using these trigonometric functions. The tutorial also provides tips for using calculators effectively and concludes with additional resources for further learning.

What feature in a triangle indicates it is a right-angled triangle?

• Equal sides

• A little square in one corner

• A circle in one corner

• Parallel lines

Which side of a right-angled triangle is always the longest?

• Adjacent

• Opposite

• Hypotenuse

• Base

If you are interested in an angle, which side is labeled as 'opposite'?

• The shortest side

• The longest side

• The side opposite the angle

• The side next to the angle

What does the 'A' in SOHCAHTOA stand for?

• Adjacent

• Angle

• Altitude

• Area

Which trigonometric function is represented by the equation 'opposite over hypotenuse'?

• Cosine

• Tangent

• Secant

• Sine

When solving for an unknown angle using tangent, which function is used?

• Inverse sine

• Inverse secant

• Inverse cosine

• Inverse tangent

In the equation tan(x) = opposite/adjacent, what does 'x' represent?

• The length of the opposite side

• The length of the hypotenuse

• The unknown angle

• The length of the adjacent side

Which equation would you use to find the hypotenuse if you know the adjacent side and angle?

• tan(x) = opposite/adjacent

• sin(x) = opposite/hypotenuse

• sec(x) = hypotenuse/adjacent

• cos(x) = adjacent/hypotenuse

What is the rearranged formula to find the hypotenuse using cosine?

• Hypotenuse = adjacent + cos(x)

• Hypotenuse = adjacent / cos(x)

• Hypotenuse = adjacent * cos(x)

• Hypotenuse = cos(x) / adjacent

What should you remember to do when entering trigonometric functions into a calculator?

• Divide by the angle

• Multiply by 100

• Close the bracket after the angle

• Use the inverse function