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Trigonometric Formula Sheet De nition of the Trig Functions Right Triangle De nition Assume that: 0 < <ˇ 2 or 0 < <90 hypotenuse adjacent opposite sin = opp hyp csc = hyp opp cos = adj hyp sec = hyp adj tan = opp adj cot = adj opp Unit Circle De nition Assume can be any angle. x y y x 1 (x;y) sin = y 1 csc = 1 y cos = x 1 sec = 1 x tan = y x ...
One of the simplest and most basic formulas in Trigonometry provides the measure of an arc in terms of the radius of the circle, N, and the arc’s central angle θ, expressed in radians.
Title: Trig_Cheat_Sheet Author: ptdaw Created Date: 11/2/2022 7:09:02 AM
Fundamental trig identity. cos(. (cos x)2 + (sin x)2 = 1. 1 + (tan x)2 = (sec x)2 (cot x)2 + 1 = (cosec x)2.
TRIGONOMETRY Right Triangle Definitions Circular Definitions Other Identities sin cos tan sec csc opp adj hyp hyp opp adj cot adj opp hyp hyp adj opp θθ θθ θθ == == == sin cos tan sec csc yx rr yx cot x y rr x y θθ θθ θθ = = = = = = sin cos tan cot cos sin 11 sec csc cos sin x x xx x x xx x x == == Reduction Formulas Sum and Difference Formulas Pythagorean Identities sin( ) sin( ) cos( ) cos( ) tan( ) tan( ) cot( ) cot( ) sec( ) sec( ) csc( ) csc( ) x xxx
Trig Cheat Sheet. Definition of the Trig Functions. Right triangle definition. For this definition we assume that. < q. p. 0 < or 0 ° < q < 90 ° . 2. hypotenuse opposite. q. adjacent. Unit circle definition. For this definition q is any angle. y. ( x , y ) q x. opposite. sin q = hypotenuse. q = adjacent. cos hypotenuse. q opposite. tan = adjacent.
Important Trigonometric Formulas. Textbook of Algebra and Trigonometry for Class XI. Available online @ http://www.mathcity.org, Version: 2.0. sin 2 + cos 2 = 1 1 + tan 2 = sec. 2 1 + cot 2 = csc. sin( − ) = − sin cos( − ) = cos tan( − ) = − tan .
trigonometry is the study of relationships between the sides and angles of a triangle. The earliest known work on trigonometry was recorded in Egypt and Babylon. Early
Created by T. Madas Created by T. Madas 9. sin 3cos 2sin 3 3 x x x π π + − + ≡ (**) 10. cos 3sin 2cos 3 3 x x x π π
• know how to differentiate all the trigonometric functions, • know expressions for sin2θ, cos2θ, tan2θ and use them in simplifying trigonometric functions, • know how to reduce expressions involving powers and products of trigonometric func-tions to simple forms which can be integrated.
