Reciprocals and Trigonometric Functions

The video tutorial covers the range of the function 2 cos x + 1, finding x-intercepts, and drawing the cosec 2x graph. It explains the concept of vertical asymptotes in the cod x graph and explores reciprocal functions, emphasizing their properties and applications in trigonometry.

What is the normal range of cos x?

• 0 to 1

• -3 to 3

• -1 to 1

• -2 to 2

How do you find the range of 2 cos x?

• Divide the range by 2

• Multiply the range by 2

• Add 1 to the range

• Subtract 1 from the range

What is the range of 2 cos x + 1?

• -1 to 3

• 0 to 2

• -2 to 2

• -3 to 3

To find x-intercepts, what value should y be set to?

• -1

• 0

• 1

• 2

What is the equation of the line for finding x-intercepts in 2 cos x + 1?

• y = 2 cos x + 1

• y = 2 sin x

• y = 2x

• y = cos x

What is the value of cos x when 2 cos x + 1 = 0?

• -1

• 1

• -0.5

• 0

What is the reciprocal of sine?

• cosine

• tangent

• secant

• cosecant

What is the reciprocal of 1?

• 0

• 1

• 2

• -1

What happens to the reciprocal of a small positive value?

• It stays the same

• It becomes negative

• It becomes smaller

• It becomes larger

What is the reciprocal of a small negative value?

• A large negative value

• A large positive value

• A small positive value

• A small negative value