Right Triangle Trigonometry: Level 1 Challenge

The video tutorial introduces right triangle trigonometry, focusing on identifying the sides of a triangle as opposite, adjacent, and hypotenuse. It explains the six main trigonometric functions, with an emphasis on sine, cosine, and tangent, and introduces the mnemonic SOHCAHTOA to remember these functions. The tutorial guides students through labeling triangle sides and applying trigonometric ratios, providing examples and exercises. It also covers simplifying trigonometric expressions and solving problems, with tips for standardized tests like the ACT.

What are the three sides of a right triangle called in relation to a specific angle?

• Opposite, adjacent, and hypotenuse

• Horizontal, vertical, and diagonal

• Left, right, and center

• Base, perpendicular, and slant

Which trigonometric functions are primarily focused on in the tutorial?

• Sine, cosine, and tangent

• Secant, cosecant, and cotangent

• Sine, secant, and cotangent

• Cosine, tangent, and cosecant

What does the mnemonic SOHCAHTOA help you remember?

• The rules for angle sum in polygons

• The relationships between the sides of a triangle and trig functions

• The formulas for calculating the area of a triangle

• The steps for solving quadratic equations

In the context of the given triangle, if theta is at one angle, which side is the hypotenuse?

• The side opposite the right angle

• The side opposite theta

• The shortest side of the triangle

• The side adjacent to theta

How is the opposite side determined in relation to theta?

• It is the longest side of the triangle

• It is the side across from theta

• It is the side next to theta

• It is the side forming the right angle

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

• Opposite side over hypotenuse

• Adjacent side over hypotenuse

• Hypotenuse over opposite side

• Opposite side over adjacent side

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

• Adjacent side over hypotenuse

• Opposite side over hypotenuse

• Hypotenuse over adjacent side

• Adjacent side over opposite side

What is the correct way to simplify the fraction 10/15 when calculating a trigonometric ratio?

• Reduce it to 3/5

• Reduce it to 1/2

• Leave it as 10/15

• Reduce it to 2/3

What should you do if you get a decimal result from a trigonometric ratio and need to match it to answer choices?

• Convert all answer choices to decimals and compare

• Guess the closest looking fraction

• Ignore the decimal and use the fraction

• Round the decimal to the nearest whole number

Why is it important to correctly set up the sides of a triangle before applying trigonometric functions?

• Incorrect setup leads to wrong answers

• It helps in memorizing the formulas

• It makes the triangle look better visually

• It is only necessary for complex triangles