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Trigonometric Functions

HSF-TF.A.2
Answer Keys Here

Aligned To Common Core Standard:

High School Functions - HSF-TF.A.2

What are the Common Trigonometric Functions? In math, Trigonometric Functions are also called circular, goniometric, and angle functions. These are real functions, and all are related to the right-angled triangle. These functions are mainly used in geometry especially for navigation, geodesy and celestial mechanics purposes in the professional world. There are six trigonometric functions in total. All six functions are derived using a right-angled triangle. There are three sides in a right-angled triangle: Hypotenuse, opposite (perpendicular) and adjacent side (base). Here the six Trigonometric Functions found in math. In order of the Name of Function-Abbreviation-Ratio; they can be stated as: Sine A - Sin A - OPP / HYP | Cosine A - Cos A - ADJ / HYP | Tangent A - - Tan A - OPP / ADJ | Cosecant A - Csc A - HYP / OPP | Secant A - Sec A - HYP / ADJ | Cotangent A - Cot A - ADJ / OPP | It is important to note that there are only three basic Trigonometric Functions as cosec is the inverse of sine, sec is the inverse of cos, and cotangent is the inverse function of a tangent. Students can use this collection of worksheets and lessons to learn how to approach and use trigonometric functions.

Printable Worksheets And Lessons


  • Cos to Sin Step-by-Step Lesson- A lot of theory goes into understanding and explaining this one.
  • Guided Lesson - More transformations from: Tan to Cosec, Sin to Tan, and Cos to Cot.
  • Guided Lesson Explanation - Looking back, I could have saved a bit of paper here by condensing the theory into one. This is more complete though.
  • Practice Worksheet - If there is such a thing, this is a drill and skill paper on this topic. Instead of the mad minute; consider it a Hurried Hour.
  • Matching Worksheet - Most students will jump to the calculator for these. I wrote them as fractions to minimize the help calculators can give you.