Trigonometric Functions and Special Triangles

The video tutorial covers multiple-choice questions on trigonometric ratios, focusing on sine, cosine, and tangent functions. It emphasizes the importance of sketching special triangles to solve problems without relying on calculators. The tutorial provides solutions to four questions, explaining the reasoning behind each answer and highlighting the relationship between sine and cosine functions.

If sine of angle x is 0.5, what is the value of x?

• 60 degrees

• 90 degrees

• 45 degrees

• 30 degrees

What is the value of tan 60 degrees?

• 0.5

• Square root of 3

• 1 over square root of 3

• 1

What is the value of cos 45 degrees?

• Square root of 2

• 1 over 2

• Square root of 2 over 2

• 1

If sine of angle x is 0, what is the value of cos x?

• -1

• 0

• 1

• 0.5

Why is it important to sketch special triangles in trigonometry?

• To memorize formulas

• To make calculations faster

• To visualize the problem

• To avoid using calculators

What are the side lengths of a 30-60-90 triangle?

• 1, 2, square root of 3

• 2, 1, square root of 3

• 1, square root of 3, 2

• 1, 1, square root of 2

What are the side lengths of a 45-45-90 triangle?

• 2, 1, square root of 3

• 1, square root of 3, 2

• 1, 1, square root of 2

• 1, 2, square root of 3

If sine x is 0.5, which angle corresponds to this value?

• 45 degrees

• 90 degrees

• 60 degrees

• 30 degrees

What is the opposite side length for 30 degrees in a 30-60-90 triangle?

• Square root of 3

• 2

• 0.5

• 1

What is the adjacent side length for 60 degrees in a 30-60-90 triangle?

• 0.5

• 2

• Square root of 3

• 1