Sine and Cosine Relationships

This video tutorial explores the relationship between sine and cosine functions, focusing on their graphs and the concept of complementary angles. It explains how sine and cosine are related through graph shifting and introduces the idea of cofunctions. The lesson demonstrates that the sine and cosine of complementary angles are equal, using examples and practical applications to reinforce understanding.

What is the sum of complementary angles?

• 90 degrees

• 180 degrees

• 45 degrees

• 360 degrees

How are sine and cosine ratios typically associated?

• With scalene triangles

• With acute triangles

• With right triangles

• With obtuse triangles

What is the range of y-values for the sine function?

• Between 0 and 1

• Between -1 and 1

• Between -2 and 2

• Between 0 and 2

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

• It becomes a tangent graph

• It remains unchanged

• It coincides with the sine graph

• It becomes a linear graph

What is the relationship between sine and cosine graphs when shifted by 90 degrees?

• They become perpendicular

• They become inverse

• They become identical

• They become parallel

What does the term 'cofunction' imply about sine and cosine?

• They are identical

• They are unrelated

• They are inverses

• They are complementary

What is the sine of 45 degrees equal to?

• 0.866

• 0.5

• 0.707

• 1

If the sine of 30 degrees is √3/2, what is the cosine of 60 degrees?

• 0

• 1

• √3/2

• 1/2

What kind of angles are 30 degrees and 60 degrees?

• Complementary

• Equal

• Opposite

• Supplementary

What is the cosine of 30 degrees equal to?

• 0.866

• √3/2

• 0.5

• 1