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Trigonometric Functions - Sin, Cos, Tan, Csc, Sec and Cot

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Examples, videos, worksheets, solutions, and activities to help Algebra 2 students learn about the trigonometric function: Sin, Cos, Tan and the reciprocal trigonometric functions Csc, Sec and Cot. Half-Angle formulas, Product and Sum Formulas.
The following diagram shows the trig identities: Reciprocal Identities, Pythagorean Identities, Half-Angle Formulas, Sum and Product Formulas. Scroll down the page for more examples and solutions on the trig identities.
Trig Identities

Reciprocal Trigonometric Functions
There are three reciprocal trigonometric functions, making a total of six including cosine, sine, and tangent.
The reciprocal cosine function is secant: secθ = 1/cosθ.
The reciprocal sine function is cosecant, cscθ = 1/sinθ.
The reciprocal tangent function is cotangent, expressed two ways: cotθ = 1/tanθ or cotθ = cosθ/sinθ.

How to define the reciprocal trigonometric functions, the reciprocal identities, and the Pythagorean identities using the unit circle? Fundamental Trigonometric Identities: Reciprocal, Quotient, and Pythagorean Identities
Use reciprocal, quotient, and Pythagorean identities to determine trigonometric function values.

Trigonometry Functions - Sin, Cos, Tan, Csc, Sec and Cot
Tangent, cotangent, secant, and cosecant of any angle This tutorial covers the reciprocal identities and shows them in various forms. Product To Sum Identities and Sum To Product Formulas
This trigonometry tutorial explains how to simplify trigonometric expressions using the product to sum identities and how to find the exact value of trigonometric expressions using the sum to product formulas.

Try the free Mathway calculator and problem solver below to practice various math topics. Try the given examples, or type in your own problem and check your answer with the step-by-step explanations.
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