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Understanding Pythagorean Identities

Understanding Pythagorean Identities

Assessment

Interactive Video

Mathematics

9th - 10th Grade

Practice Problem

Hard

Created by

Jennifer Brown

FREE Resource

10 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the first Pythagorean identity?

Sine squared plus cosine squared equals one

Tangent squared plus one equals secant squared

One plus cotangent squared equals co-secant squared

Sine squared plus tangent squared equals one

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the radius of a unit circle?

Two

Zero

One

Pi

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

In a unit circle, how is the X coordinate represented in terms of an angle?

Cosine theta

Cotangent theta

Sine theta

Tangent theta

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the hypotenuse of a triangle in a unit circle?

One

Y

Theta

X

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

How can the second Pythagorean identity be derived from the first?

By subtracting one from both sides

By adding one to both sides

By multiplying by one over cosine squared

By multiplying by one over sine squared

6.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the second Pythagorean identity?

Sine squared plus tangent squared equals one

One plus cotangent squared equals co-secant squared

Tangent squared plus one equals secant squared

Sine squared plus cosine squared equals one

7.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What operation is used to derive the third Pythagorean identity from the first?

Adding one to both sides

Multiplying by one over cosine squared

Multiplying by one over sine squared

Subtracting one from both sides

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