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Graphing Trig Functions Worksheets

HSG-C.A.2
Answer Keys Here

Aligned To Common Core Standard:

High School Geometry - HSG-C.A.2

What are Tangent, Cotangent, Secant, and Cosecant? Trigonometry is defined as that branch of mathematics that determines relations of angles and sides of a triangle. This branch of mathematics has a few trigonometric ratios that help us in finding the relations between angles and sides of a triangle. Typically, a triangle is defined with three sides; adjacent, perpendicular and hypotenuse. Using these three sides, we can define the following trigonometric ratios as: TANGENT - Tangent ratio defines the relationship between the perpendicular or opposite side to the adjacent side of a particular angle of the right-angled triangle. tangent < Θ = opposite/adjacent or tangent < Θ = sin⁡Θ / cos⁡Θ | Note that hypotenuse never changes. It always stays that side opposite to the right angle. However, the opposite and adjacent sides change according to the chosen angle. COTANGENT - Cotangent or cot is the reciprocal function of a tangent function. It is used in the same way as the other trigonometric ratios. Depending on the chosen angle, the opposite and adjacent change. cotangent < Θ = adjacent/opposite or cotangent < Θ = cos⁡Θ/sin⁡Θ COSECANT - Cosecant is another reciprocal trigonometric ration. It is the reciprocal function of sine. Since sine is defined as the opposite/hypotenuse, cosecant will be defined as hypotenuse/opposite. cosecant < Θ = hypotenuse/opposite. SECANT - Like cosecant, secant is also the reciprocal function of one of the basic trigonometric function. Secant is defined as the reciprocal function of cosine. Since cosine is defined as adjacent/hypotenuse, secant will be defined as hypotenuse/adjacent. secant <Θ = hypotenuse/adjacent These worksheets and lessons help students learn how to interpret the graph of various trig. functions.

Printable Worksheets And Lessons




Homework Sheets

When you are looking for the equation it is helpful to have a straight edge handy.




Practice Worksheets

Some of the waves as synchronous and some of them don't seem that way at all.

  • Practice 1 - Determine the equation of the graph.
  • Practice 2 - There is a repeated pattern here, so we first isolate one part of the pattern.
  • Practice 3 - Write the equation from the points.



Math Skill Quizzes

Always look for the peaks and valleys to help you find the equation.

  • Quiz 1 - You will need to diagnose the type of wave you are looking at before you make a move.
  • Quiz 2 - Where does this equation bring you?
  • Quiz 3 - What is the value of the y-intercept, start there.