Exploring the Relationship between Sine and Cosine Ratios

Exploring the Relationship between Sine and Cosine Ratios

Assessment

Interactive Video

Mathematics

1st - 6th Grade

Hard

Created by

Quizizz Content

FREE Resource

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.

Read more

5 questions

Show all answers

1.

OPEN ENDED QUESTION

3 mins • 1 pt

What are complementary angles and how do they relate to sine and cosine?

Evaluate responses using AI:

OFF

2.

OPEN ENDED QUESTION

3 mins • 1 pt

Explain the relationship between the sine and cosine graphs.

Evaluate responses using AI:

OFF

3.

OPEN ENDED QUESTION

3 mins • 1 pt

What does it mean for cosine to be a cofunction of sine?

Evaluate responses using AI:

OFF

4.

OPEN ENDED QUESTION

3 mins • 1 pt

How do the sine and cosine values of complementary angles compare?

Evaluate responses using AI:

OFF

5.

OPEN ENDED QUESTION

3 mins • 1 pt

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

Evaluate responses using AI:

OFF