Understanding Pythagorean Identities

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

What is the radius of a unit circle?

• Two

• Zero

• One

• Pi

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

• Cosine theta

• Cotangent theta

• Sine theta

• Tangent theta

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

• One

• Y

• Theta

• X

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

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

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

What is the third Pythagorean identity?

• Sine squared plus cosine squared equals one

• Tangent squared plus one equals secant squared

• Sine squared plus tangent squared equals one

• One plus cotangent squared equals co-secant squared

What is the reciprocal identity of one over sine?

• Cotangent

• Co-secant

• Secant

• Tangent

What is the quotient identity for sine over cosine?

• Cotangent

• Co-secant

• Secant

• Tangent