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Solutions of Problems: Trigonometric and Inverse Trigonometric Functions
2021In this chapter, the problems of the 11th chapter are fully solved, in detail, step-by-step, and with different methods.
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Trigonometric integration without trigonometric functions
Teaching Mathematics and its Applications, 2016Teaching techniques of integration can be tedious and often uninspired. We present an obvious but underutilized approach for finding antiderivatives of various trigonometric functions using the complex exponential representation of the sine and cosine. The purpose goes beyond providing students an alternative approach to trigonometric integrals.
James Quinlan, Joseph Kolibal
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2022
In this chapter, we will define the Trigonometric Circle and extend the concept of angle discussed in Sec. 10.6 to angles whose measurement can be any real number [rather than angles whose measurement have to be between “0” (zero) and “2 π” (Rfullturn)].
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In this chapter, we will define the Trigonometric Circle and extend the concept of angle discussed in Sec. 10.6 to angles whose measurement can be any real number [rather than angles whose measurement have to be between “0” (zero) and “2 π” (Rfullturn)].
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The Mathematics Teacher, 1950
In this article we shall indicate many different methods by which the sine and cosine functions may be defined. (From these the other four functions may be obtained by their usual definitions in terms of the sine and cosine functions, viz., cot θ = cos θ/sin θ.) In the course of the discussion we shall consider the trigonometric functions from various ...
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In this article we shall indicate many different methods by which the sine and cosine functions may be defined. (From these the other four functions may be obtained by their usual definitions in terms of the sine and cosine functions, viz., cot θ = cos θ/sin θ.) In the course of the discussion we shall consider the trigonometric functions from various ...
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The Mathematics Teacher, 1958
Herein is presented a definition of trigonometric functions not usually found in elementary texts. Continuing in the same unusual way, properties of these functions are derived in a manner simple enough to use in an early calculus course.
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Herein is presented a definition of trigonometric functions not usually found in elementary texts. Continuing in the same unusual way, properties of these functions are derived in a manner simple enough to use in an early calculus course.
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Problems: Trigonometric and Inverse Trigonometric Functions
2021In this chapter, the basic and advanced problems of trigonometric and inverse trigonometric functions are presented. To help students study the chapter in the most efficient way, the problems are categorized in different levels based on their difficulty levels (easy, normal, and hard) and calculation amounts (small, normal, and large).
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On Two Functional Equations for the Trigonometric Functions
Canadian Mathematical Bulletin, 1969We consider the following cosine and sine functional equations:(1)(2)where f is an entire function of a complex variable z and x, y are complex variables [1; 2; 3].
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1978
Originally, trigonometry was developed to solve problems involving triangles. As such, it is a very important tool for surveyors, machinists, engineers, astronomers, and navigators. As we shall see, the trigonometric functions are readily available in APL. Therefore, we shall study some of the basic properties of the trigonometric functions and explore
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Originally, trigonometry was developed to solve problems involving triangles. As such, it is a very important tool for surveyors, machinists, engineers, astronomers, and navigators. As we shall see, the trigonometric functions are readily available in APL. Therefore, we shall study some of the basic properties of the trigonometric functions and explore
openaire +1 more source