Right Triangle Trigonometry Concepts

This video tutorial by Mr. Backword covers right triangle trigonometry, focusing on evaluating trigonometric functions of acute angles. It explains the basic trigonometric ratios: sine, cosine, and tangent, using the mnemonic SOHCAHTOA. The video also introduces reciprocal functions: cosecant, secant, and cotangent. Through examples of 3-4-5, 45-45-90, and 30-60-90 triangles, the tutorial demonstrates how to calculate these functions. The importance of understanding these angles in both degrees and radians is emphasized for mastering trigonometry.

What is the main objective of the lesson on right triangle trigonometry?

• To understand the history of trigonometry

• To learn about different types of triangles

• To memorize the Pythagorean theorem

• To evaluate trig functions of acute angles within right triangles

In a right triangle, what is the side opposite the right angle called?

• Base

• Adjacent side

• Opposite side

• Hypotenuse

What does the 'SOH' in SOHCAHTOA stand for?

• Sine = Opposite / Adjacent

• Sine = Hypotenuse / Opposite

• Sine = Adjacent / Hypotenuse

• Sine = Opposite / Hypotenuse

Which of the following is the reciprocal of the sine function?

• Cotangent

• Tangent

• Cosecant

• Secant

In a 3-4-5 triangle, what is the sine of the angle opposite the side of length 4?

• 3/5

• 4/5

• 3/4

• 5/4

In a 45-45-90 triangle, what is the length of the hypotenuse if each leg is 1?

• 2

• √2

• 1

• √3

For a 30-60-90 triangle, what is the cosine of the 30-degree angle?

• 1/2

• √3/2

• √3/3

• 1

What is the radian measure equivalent to 30 degrees?

• π/4

• π/3

• π/6

• π/2