Pythagorean Identities Worksheet

Explore and apply the fundamental Pythagorean identities in trigonometry with this Grade 10 math worksheet.

Grade 10 Math TrigonometryPythagorean Identities

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Includes

Fill in the BlanksMultiple ChoiceShort AnswerTrue / False

Standards

CCSS.MATH.CONTENT.HSG.SRT.C.8CCSS.MATH.CONTENT.HSF.TF.C.8

Topics

mathtrigonometrypythagorean identitiesgrade 10

6 sections · Free to use · Printable

Pythagorean Identities Practice

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

1. The most fundamental Pythagorean identity is sin²θ + cos²θ = .

2. Dividing sin²θ + cos²θ = 1 by cos²θ gives the identity + 1 = sec²θ.

3. Dividing sin²θ + cos²θ = 1 by sin²θ gives the identity 1 + = csc²θ.

4. Which of the following is equivalent to 1 - sin²θ?

cos²θ

sec²θ

tan²θ

csc²θ

5. If tanθ = 3, what is the value of sec²θ?

6. Prove the identity: tan²θ + 1 = sec²θ.

7. If cosθ = 0.6, find sinθ. Show your work.

8. The identity 1 + cot²θ = csc²θ is derived by dividing sin²θ + cos²θ = 1 by cos²θ.

True

False