Trigonometric Functions and Right Triangles

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 side lengths using these trigonometric functions. The video also provides tips for using calculators effectively and offers additional resources for further learning.

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

• A triangle symbol in one corner

• A star symbol in one corner

• A small square in one corner

• A small circle in one corner

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

• Adjacent

• Opposite

• Hypotenuse

• Base

If you are interested in finding an angle labeled as X, what is the side opposite to X called?

• Hypotenuse

• Base

• Adjacent

• Opposite

In a right-angled triangle, what do we call the side next to the angle of interest?

• Hypotenuse

• Opposite

• Adjacent

• Base

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

• Sine

• Cosine

• Tangent

• Secant

What is the equation for cosine in terms of triangle sides?

• Adjacent over Hypotenuse

• Adjacent over Opposite

• Hypotenuse over Adjacent

• Opposite over Hypotenuse

What does the 'T' in SOHCAHTOA stand for?

• Triangle

• Tetrahedron

• Tangent

• Trigonometry

How can you remember the trigonometric equations easily?

• Using the SOHCAHTOA mnemonic

• By writing them down repeatedly

• By practicing regularly

• By memorizing each equation separately

In the example problem, which trigonometric function was used to find the unknown angle?

• Cosine

• Sine

• Tangent

• Secant

What is the value of the unknown angle X in the example problem?

• 70.2 degrees

• 60.5 degrees

• 53.7 degrees

• 45.3 degrees