Trigonometry

Practice Questions

ACT Math › Trigonometry

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1

A man has a rope that is long, attached to the top of a small building. He pegs the rope into the ground at an angle of . How far away from the building did he walk horizontally to attach the rope to the ground? Round to the nearest inch.

2

A sine function has a period of , a -intercept of , an amplitude of and no phase shift. These describe which of these equations?

3

A man has a rope that is long, attached to the top of a small building. He pegs the rope into the ground at an angle of . How far away from the building did he walk horizontally to attach the rope to the ground? Round to the nearest inch.

4

Using trig identities, simplify sinθ + cotθcosθ

5

If and , what is the value of ?

6

Given a function , what is a valid domain?

7

What is the domain of the function ?

8

Find the domain of . Assume is for all real numbers.

9

Given a function , what is a valid domain?

10

What is the domain of the function ?

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