Cotangent Functions Worksheet - Grade 10

Explore cotangent functions, their graphs, properties, and applications in trigonometry for Grade 10 students.

Grade 10 Math TrigonometryCotangent

Use This Worksheet

Includes

Multiple ChoiceFill in the Blanks2 Short AnswerTrue / False

Standards

CCSS.MATH.CONTENT.HSF.TF.B.5CCSS.MATH.CONTENT.HSF.TF.C.7

Topics

cotangenttrigonometrygraphsfunctionsmath

7 sections · Free to use · Printable

Cotangent Functions Worksheet

Name:

Date:

Score:

Read each question carefully and answer to the best of your ability. Show all your work for full credit.

1. What is the cotangent of an angle θ in a right-angled triangle?

Opposite / Adjacent

Adjacent / Hypotenuse

Adjacent / Opposite

Hypotenuse / Opposite

1. The cotangent function is the reciprocal of the function.

2. The period of the basic cotangent function, cot(x), is .

3. Cotangent is undefined when the sine of the angle is .

1. Sketch one period of the graph of y = cot(x) on the coordinate plane below. Label the asymptotes and x-intercepts.

1. The domain of y = cot(x) includes all real numbers.

True

False

1. If tan(θ) = 5/12, what is cot(θ)?

2. Find the exact value of cot(π/4).