Trigonometric Functions and Properties

This 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 for unknown angles and sides with practical examples. The video concludes with a summary and directs viewers to additional resources for further learning.

What feature helps you identify a right-angled triangle?

• Equal sides

• A little square in one corner

• Parallel sides

• A circle in one corner

Which side is always opposite the right angle in a triangle?

• Hypotenuse

• Opposite

• Adjacent

• Base

If angle X is at the bottom right, which side is labeled as 'opposite'?

• The side next to angle X

• The side opposite angle X

• The hypotenuse

• The base

What does the 'O' in SOHCAHTOA stand for?

• Orthogonal

• Opposite

• Over

• Obtuse

Which trigonometric function is represented by 'T' in SOHCAHTOA?

• Sine

• Cosine

• Secant

• Tangent

When given the opposite and adjacent sides, which function helps find angle X?

• Sine

• Secant

• Cosine

• Tangent

What is the inverse function used to find an angle from a tangent value?

• tan^-1

• sin^-1

• cos^-1

• sec^-1

To find the hypotenuse using cosine, which equation is correct?

• Hypotenuse = opposite * cos X

• Hypotenuse = opposite / cos X

• Hypotenuse = adjacent / cos X

• Hypotenuse = adjacent * cos X

What should you remember to do when using a calculator for trigonometric functions?

• Close the bracket after the angle

• Press the shift button

• Use degrees

• Use radians

If the adjacent side is 20 cm and angle X is 35°, what is the hypotenuse?

• 20 cm

• 24 cm

• 18 cm

• 22 cm