# Tangent Identity and Pythagorean Identities

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High School Math based on the topics required for the Regents Exam conducted by NYSED.

What are the Reciprocal Identities?
$$\csc \theta = \frac{1}{{\sin \theta }},\sec \theta = \frac{1}{{\cos \theta }},\cot \theta = \frac{1}{{\tan \theta }}$$

What are the Quotient Identities or Tangent Identities?
$$\tan \theta = \frac{{\sin \theta }}{{\cos \theta }},\cot \theta = \frac{{\cos \theta }}{{\sin \theta }}$$

What are the Pythagorean Identities?
$${\sin ^2}\theta + {\cos ^2}\theta = 1,{\tan ^2}\theta + 1 = {\sec ^2}\theta ,1 + co{t^2}\theta = {\csc ^2}\theta$$

Fundamental Trigonometric Identities: Reciprocal, Quotient, and Pythagorean Identities
Simplifying a Trigonometric Expression Using Trigonometric Identities

Trigonometric Identities Pythagorean Identities
Identities 3 - Pythagorean Identities Proof

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