Trigonometry Concepts and Applications

This video tutorial covers the basics of trigonometry, focusing on the concept of SOHCAHTOA to understand sine, cosine, and tangent ratios in right triangles. It explains how to identify sides in a triangle, discusses special right triangles, and explores trigonometric functions in different quadrants. The video also provides methods to find exact values of trigonometric functions and solve advanced problems, including the use of reference angles and coterminal angles. The tutorial concludes with additional resources for further learning.

What does the 'SOH' in SOHCAHTOA stand for?

• Sine equals opposite over hypotenuse

• Sine equals hypotenuse over adjacent

• Sine equals hypotenuse over opposite

• Sine equals adjacent over hypotenuse

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

• 3/5

• 4/5

• 5/4

• 5/3

Which of the following is a special right triangle?

• 7-24-26

• 6-8-10

• 8-15-18

• 5-12-13

What is the reference angle for an angle of 240 degrees?

• 30 degrees

• 60 degrees

• 120 degrees

• 90 degrees

In which quadrant is cosine positive and sine negative?

• Quadrant III

• Quadrant II

• Quadrant I

• Quadrant IV

What is the exact value of sine 30 degrees?

• 0

• √3/2

• 1/2

• 1

How do you convert an angle from radians to degrees?

• Subtract 180

• Add 180

• Multiply by 180/π

• Multiply by π/180

What is the cosine of 150 degrees?

• -1/2

• √3/2

• 1/2

• -√3/2

Which trigonometric function is positive in both the first and third quadrants?

• Cosecant

• Sine

• Cosine

• Tangent

What is the secant of an angle if the cosine is -1/√2?

• 2

• -√2

• √2

• -2