Trigonometric Functions and Applications

This video is a review for Quiz 1, Cycle 1, focusing on trigonometry problems involving right angles. It covers solving various trigonometric problems using SOHCAHTOA, including angles of 45, 60, 30, 24, 17, and 57 degrees. The video also explores finding the values of trigonometric functions like sine, cosine, tangent, and their reciprocals for given angles. Each problem is solved step-by-step, demonstrating the application of trigonometric identities and cross-multiplication techniques.

What is the main topic of the video?

• Trigonometry

• Geometry

• Calculus

• Algebra

Which trigonometric function is used to solve a 45-degree right triangle?

• Cosecant

• Sine

• Cosine

• Tangent

What is the sine of 45 degrees?

• 1/2

• √3/2

• √2/2

• 1

In a 60-degree triangle, which side is opposite the angle?

• Opposite

• Adjacent

• None

• Hypotenuse

What is the sine of 60 degrees?

• 1

• √2/2

• √3/2

• 1/2

Which function is used to solve a 30-degree triangle?

• Tangent

• Secant

• Cosine

• Sine

What is the tangent of 30 degrees?

• 1

• √3/3

• √3

• 1/√3

In a 60-degree triangle, which trigonometric function is used to find the adjacent side?

• Sine

• Cosine

• Tangent

• Cosecant

What is the cosine of 60 degrees?

• 1/2

• √3/2

• √2/2

• 1

How do you find the value of x without a calculator?

• Using sine

• Using secant

• Using cosine

• Using tangent