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## Graphing Trig Functions Worksheets

#### 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.