Exploring the Relationship between Sine and Cosine Ratios

The video tutorial explores the relationship between sine and cosine, focusing on their graphs and complementary angles. It begins by explaining why cosine is named as such, then delves into the properties of sine and cosine graphs, highlighting their cyclic nature. The tutorial demonstrates how shifting these graphs reveals their relationship, showing that cosine is a cofunction of sine. It emphasizes that sine and cosine of complementary angles are equal, using examples to illustrate this concept. The lesson concludes with an application of these ideas to solve problems.

What is the sum of complementary angles?

• 360 degrees

• 45 degrees

• 90 degrees

• 180 degrees

What happens when the cosine graph is shifted 90 degrees to the right?

• It becomes a straight line

• It doubles in amplitude

• It disappears

• It coincides with the sine graph

Why is cosine called a cofunction of sine?

• Because it is always greater than sine

• Because it is a function of sine

• Because it coincides with sine when shifted

• Because it is unrelated to sine

What is the cosine of 30 degrees equal to?

• 0.707

• 0.5

• 1

• Square root of 3 divided by 2

If sine of 30 degrees equals square root 3 divided by 2, what is the cosine of 60 degrees?

• Square root of 3 divided by 2

• 0.5

• 0.707

• 1