Illustrative Mathematics
Trigonometric Ratios and the Pythagorean Theorem
Take an alternative route with trigonometry and let learners connect a tweaked version of the pythagorean theorem to the original in terms of triangle sides. The assignment leads participants towards deriving the Pythagorean identity...
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Differentiation Quiz Form B
In this differentiation worksheet, students differentiate 10 functions in short answer format. Students differentiate trig, logarithmic, cubic, exponential, rational, and higher order functions.
Illustrative Mathematics
Calculations with Sine and Cosine
Practice makes perfect and perfecting those trigonometric functions are vital in trigonometry. The task requires evaluating cosine and sine values at common degree measures before looking at the results. Is there a pattern when the...
Illustrative Mathematics
Finding Trig Values
Let's keep trigonometry simple. When given a cosine ratio, learners must use the clues about the quadrant to determine the sine and tangent ratios. The answer key has a complete worked-out solution to help guide pupils through the...
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Solving Quadratic Trigonometric Equations
In this trigonometry worksheet, students solve quadratic trigonometric equations. The seven page worksheet contains explanation, examples, and sixteen multi-part questions. Answers are not included.
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Polynomial Equations
In this polynomial equations worksheet, 9th graders solve 10 different problems that include various polynomials to a higher degree. First, they solve each equation combining like terms if possible. Then, students find the zeroes or the...
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Graphing Trigonometric Functions
In this geometry worksheet, students identify an angle as an angle of elevation or depression and solve problems in which they find the indicated distance. The one page worksheet contains eight multi-part problems. Answers are not included.
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Trigonometry Worksheet: Graph Trigonometric Functions (1)
In this trigonometry learning exercise, students graph one trigonometric function. The function is y=2cos(2x). A coordinate grid is included on the learning exercise.
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Trigonometry Worksheet: Graph Trigonometric Functions (3)
For this graphing trigonometric functions worksheet, students graph one function: y=-3cos(2x-pi/4). There is ample space on the page for the student to work out this one problem.
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Calculus Worksheet: Graphs of Functions (2)
Students are given a trigonometric function. They find the period of f, the maximum and ninimum values of f(x). Students compute the smallest positive value of x and the smallest positive value of x. They sketch the graph of the function.
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Triginometry: Find the Unknown Side
In this Trigonometry learning exercise, students use the Pythagorean theorem to calculate the length of side x. There are 5 questions to solve and submit.
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Exercise Set 5.1: Trigonometric Functions of Real Numbers
In this trig functions worksheet, learners find the trig values of 46 problems. Students find the trig values of various radian measures. Learners use trig properties to prove trig identities.
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Ten Trigonometric Review Problems - Calculator Required
In this trigonometry review worksheet, learners convert between radians and degrees, sketch angles, evaluate trig. functions, solve for missing angles, and find the functions that satisfy the given conditions.
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Logarithmic Expressions
In this logarithmic expression worksheet, students use the properties of logs to write given expressions in expanded form. They solve logarithmic functions. This one-page worksheet contains ten problems.
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Graph a csc Trigonometric Function
In this trigonometry function instructional activity, students graph one csc function with transformations. A grid for graphing is provided.
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Differentiation Quiz
In this differentiation quiz worksheet, students solve 10 short answer problems. Students differentiate rational equations, trig functions, exponential models, higher order polynomials, etc.
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Review Quiz before Mini-Exam
In this pre-calculus review worksheet, students solve 28 multiple choice problems. Students find the trigonometric values of various angles, find the eccentricity of an ellipse, use trigonometric identities solve compounded interest...
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Inverse Trigonometric Values
In this trigonometry learning exercise, students solve functions using the properties of inverse trig. They write out the 6 trigonometric functions in standard position and solve for missing angles. There are 15 questions.
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Even More Calculus
In this calculus worksheet, 12th graders differentiate and integrate basic trigonometric functions, calculate rates of change, and integrate by substitution and by parts. The twenty-two page worksheet contains explanation of the...
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Graphing
In this graphing worksheet, students solve and complete 8 different types of problems. First, they graph each set of axes completely. Then, students label the axes and shown a table of their results. In addition, they determine the cycle...
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Algebra 2 and Trigonometry Practice Series #4
In this sum of a series worksheet, students complete 6 multiple choice problems relating to the topic. They create an infinite series that converges to -2. Students graph one function on their graphing calculator.
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Trigonometric Ratios
In this trigonometric ratios worksheet, 10th graders solve 9 different problems that include determining the trigonometric ratios of each triangle. First, they determine the sides and angles of a right triangle that is shown in each...
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Graphing Trig Functions
In this graphing trigonometric functions worksheet, 11th graders solve and complete 10 various types of problems. First, they graph each functions as shown. Then, students find the domain in each given function. In addition, they find...
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A.P. Calculus - First Semester Esxamination
In this calculus exam worksheet, students solve 40 multiple choice and short answer questions. Students find normal lines, derivatives of functions, evaluate functions at points, etc.