Writing Trig Ratios with SOH CAH TOA

This video tutorial introduces trigonometry, focusing on right triangles and the three main trigonometric functions: sine, cosine, and tangent. It explains how to use the acronym SOHCAHTOA to remember the relationships between the sides of a right triangle and these functions. The video also includes sample questions to demonstrate how to apply these concepts and solve problems using trigonometric ratios. Additionally, it covers the use of the Pythagorean theorem to find missing side lengths in right triangles.

What does trigonometry primarily deal with?

• The comparison of sides and angles within triangles

• The study of circles

• The history of Greek mathematics

• The calculation of area for polygons

What does the acronym SOH represent in trigonometry?

• Sine equals Opposite over Hypotenuse

• Sine equals Opposite plus Hypotenuse

• Sine equals Opposite minus Hypotenuse

• Sine equals Opposite times Hypotenuse

In the context of a right triangle, what does the adjacent side refer to?

• The side opposite to the right angle

• The side opposite to the angle of interest

• The longest side of the triangle

• The side next to the angle of interest, excluding the hypotenuse

What does the acronym TOA stand for in trigonometry?

• Tangent equals Opposite minus Adjacent

• Tangent equals Opposite plus Adjacent

• Tangent equals Opposite over Adjacent

• Tangent equals Opposite times Adjacent

How do you calculate the sine of an angle in a right triangle?

• Hypotenuse over Opposite side

• Opposite side over Adjacent side

• Opposite side over Hypotenuse

• Adjacent side over Hypotenuse

What is the cosine of an angle in a right triangle defined as?

• Adjacent side over Hypotenuse

• Opposite side over Hypotenuse

• Hypotenuse over Adjacent side

• Opposite side over Adjacent side

How is the tangent of an angle in a right triangle calculated?

• Hypotenuse over Opposite side

• Opposite side over Adjacent side

• Adjacent side over Hypotenuse

• Opposite side over Hypotenuse

What theorem is used to find a missing side length in a right triangle?

• Euler's Theorem

• Fermat's Last Theorem

• The Quadratic Formula

• Pythagorean Theorem

If two angles are congruent, their trig ratios are:

• Inversely proportional

• Equal

• Different

• Undefined

What does it mean if the sine of two angles is equal?

• The angles are complementary

• The angles are acute

• The angles are congruent

• The angles are supplementary