What is the domain of sine and cosine graph

The video tutorial explains how to find the domain of sine and cosine functions. It begins by discussing the concept of domain in functions, emphasizing the importance of unique input-output pairs. The unit circle and coterminal angles are introduced to demonstrate how values can be repeatedly added or subtracted by 2π to find equivalent angles. The tutorial concludes by showing that the domain of sine and cosine functions is all real numbers, as these functions can be graphed infinitely in both directions, always producing an output value.

What is a key requirement for a value to be part of a function's domain?

• It must produce multiple outputs.

• It must be a negative number.

• It must produce a unique output.

• It must be a positive number.

What is a coterminal angle?

• An angle that is twice another angle.

• An angle that shares the same initial and terminal sides as another angle.

• An angle that is half of another angle.

• An angle that is opposite to another angle.

How can you find a coterminal angle for π/4?

• Divide by 2π.

• Add or subtract π.

• Add or subtract 2π.

• Multiply by 2π.

What does the infinite nature of sine and cosine graphs imply about their domain?

• The domain includes only integers.

• The domain is limited to negative numbers.

• The domain is limited to positive numbers.

• The domain includes all real numbers.

What happens to the sine and cosine graphs as they extend indefinitely?

• They become undefined.

• They repeat their pattern over and over.

• They stop at a certain point.

• They become linear.

How can the domain of sine and cosine functions be expressed?

• As all positive numbers.

• As all negative numbers.

• As all real numbers.

• As all integers.

Which notation can be used to express the domain of sine and cosine functions?

• One to Infinity

• Negative Infinity to Infinity

• Zero to Infinity

• Negative Infinity to Zero