What are your three basic fundamental trigonometric identities

The video tutorial explains the concept of identities in mathematics, focusing on trigonometric identities. It covers reciprocal identities, quotient identities, and Pythagorean identities, using examples and the unit circle to illustrate these concepts. The tutorial emphasizes the importance of understanding these identities for solving mathematical problems.

What is the main difference between an equation and an identity?

• An identity is a type of equation that is never true.

• An equation is true for specific values, while an identity is true for all values.

• An identity is true for specific values only.

• An equation is always true for all values.

Which of the following pairs are reciprocals in trigonometry?

• Sine and Secant

• Cosine and Tangent

• Sine and Cosecant

• Tangent and Secant

What is the reciprocal of cotangent in trigonometric identities?

• Secant

• Tangent

• Cosine

• Sine

How is the tangent of an angle expressed in terms of sine and cosine?

• Tangent equals cosine minus sine

• Tangent equals sine times cosine

• Tangent equals sine over cosine

• Tangent equals cosine over sine

Which identity is derived from the Pythagorean theorem?

• Tangent squared plus secant squared equals one

• Sine plus cosine equals one

• Sine squared plus cosine squared equals one

• Tangent plus cotangent equals one

What does the Pythagorean identity involving tangent and secant state?

• Tangent squared equals secant squared minus one

• Secant squared equals tangent squared minus one

• Tangent squared plus secant squared equals one

• One plus tangent squared equals secant squared

Which of the following is a Pythagorean identity?

• Sine squared plus tangent squared equals one

• Sine squared minus cosine squared equals one

• One plus cotangent squared equals cosecant squared

• Cosine squared plus tangent squared equals one