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Illustrative Mathematics
Two Wheels and a Belt
Geometry gets an engineering treatment in an exercise involving a belt wrapped around two wheels of different dimensions. Along with the wheels, this belt problem connects concepts of right triangles, tangent lines, arc length, and...
Whitman College
Calculus
Everything you wanted to know about calculus—and more! The resource is a complete Calculus textbook with explanations, examples, and practice problems.
Curated OER
How are Trig Ratios Used to Measure Triangle Sides
Students identify the ratios of trig identities. In this geometry instructional activity, students solve the missing sides and angles of triangles using trig ratios. They relate the graphs and waves to real life scenarios.
Curated OER
Trigonometry Worksheets
In this online math worksheet, students utilize elements of trigonometry in order to describe aspects of a right triangle. This excellent resource allows the students to check their answers, and to get "hints" should they run into...
Curated OER
Complex Analysis: Complex Exponential
In this complex exponential worksheet, students identify an entire function and explore how to show a function is analytic. This two-page worksheet contains four problems, as well as explanations and examples.
Curated OER
Graphs of the Sine and Cosine Function
For this college level Pre-Calculus worksheet, students investigate the graphs of the sine and cosine functions. The six page worksheet contains seventy-eight problems. Solutions are not provided.
Curated OER
Modelling Periodic Phenomena
In this Pre-calculus/Trigonometry worksheet, learners determine the trigonometric function that best models the given data. The eight page worksheet contains explanation, examples, and twenty-one problems. Answers are not included.
Curated OER
Mathematics B: High School Exam
In this mathematics worksheet, students solve problems about numerous high school topics including trigonometry, algebra, and pre-calculus. This worksheet contains, but is not limited to, radicals, inverse functions, transformations, and...
Curated OER
Worksheet 6.7 MT-A141 PreCalculus
In this PreCalculus instructional activity, students explore inverse relations of sine, cosine, and tangent. They graph three functions and describe the inverse function.
Curated OER
Worksheet 14
In this math worksheet, students graph the function f(x) = sinx on a set of axes that is at least half the size of a page of notebook paper.
Curated OER
Complex Analysis: Rectangular Form
In this rectangular form worksheet, students write numbers in rectangular form. They solve complex numbers, and find the value of a function. This two-page worksheet contains approximately 12 multi-step problems.
Curated OER
Identity Worksheet
In this identity worksheet students use trigonometric functions to prove given statements are true. This one-page worksheet contains fifteen problems.
Curated OER
Trigonometry Worksheet
In this trigonometry worksheet, students use the law of sines to find the length of a missing side of a triangle. They prove trigonometric identity and use Heron's formula to find the area of a triangle. This two-page worksheet...
Curated OER
Further Trigonometry
In this trigonometry instructional activity, students solve and complete 5 various types of problems. First, they find the exact ratios for each trigonometric function. Then, students use the expansion to find the exact value of a given...
Curated OER
Evaluate Integrals
In this evaluating integrals learning exercise, students solve and complete 12 various types of problems. First, they use the trigonometric identity to rewrite each integral. Then, students use integral formulas for sine function. They...
Curated OER
Integrated Algebra: State Exam
In this integrated algebra worksheet, students solve problems related to topics covered in algebra for the entire year. Topics include, but are not limited to, inequalities, probability, functions, interval notation, exploring...
Curated OER
Trigonometric Graphs: Vertical and Horizontal Shift of Functions
In this vertical and horizontal shift of functions, students describe the period, amplitude, horizontal shift and vertical shift of each given function. This three-page learning exercise contains seven multi-step problems.
Curated OER
High School Examination: Algebra 2/Trigonometry
In this high school worksheet, students solve problems involving angles, functions, square roots, and sequences. They read word problems, write equations, and then solve them. This 28-page worksheet contains 39 problems.
Curated OER
Challenge Discussion Sheet 10: Limits
For this challenge discussion sheet on limits, students evaluate limits, derive formulas for the derivative of an inverse function, differentiate functions and find the values of constants. This one-page worksheet contains five...
Curated OER
Worksheet 10: Differentiation
In this differentiation worksheet, students differentiate functions, sketch graphs of functions, determine the area of inscribed polygons, and use the Mean Value Theorem for functions and intervals. This four-page worksheet contains...
Curated OER
Mathematics B: New York High School Test
In this mathematics activity, students solve problems pertaining to high school mathematics. Problems include topics such as finding the sine, cosine and tangent. They graph functions, work with statistics, solve measurement problems,...
Curated OER
Areas Between the Curves
In this algebra worksheet, learners solve and complete 12 problems involving sine, cosine, area and function.
Curated OER
Periodic Functions
In this Pre-Calculus activity, students solve problems involving periodic functions. The three page activity contains twenty-three problems. Answers are not provided.
CK-12 Foundation
Horizontal Translations or Phase Shifts: Cosine
If cosine is shifted, how is its equation affected? Learners manipulate the graph of cosine by moving the y-intercept to different locations on the coordinate plane. Pupils determine the new equation that models the shifts.