Trigonometric Functions Cheat Sheet

Ex for all x. Sin 1 y qy 1 csc y q.


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Trig Cheat Sheet Definition of the Trig Functions 2 Right triangle definition For this definition we assume that 0 2 π.

Trigonometric functions cheat sheet. The PDF file has four pages to print on both sides of the same sheet with the basic relationships of trigonometry. A b c measures of sides. Y tan x -infty y.

Rational function except for xs that give division by zero. Polynomials for all x. N and m both odd.

From the continued fraction of Gauss we have. Y cot x -infty y. H k horizontal and vertical distances from the center.

Find an equation for a cosine function that has amplitude of 4 period of 270 a y-intercept of 5 and a phase shift of 18. B base or measure of a side. Find an equation for a sine function that has amplitude of 4 period of 180 a y-intercept of -3 and a phase shift of 17.

11 opposite sin hypotenuse θ hypotenuse csc opposite θ 1 adjacent cos hypotenuse θ hypotenuse sec adjacent θ opposite tan adjacent θ adjacent cot opposite θ Unit circle definition For this. N x n even for all x 0. They have their own formulas and rules that youll.

Unit circle definition For this definition q is any angle. We can compute the other trigonometric and hyperbolic trigonometric functions by solving quadratic equations involving continued fractions via the tan x2 and tanh x2 identities. Get to know some special rules for angles and various other important functions definitions and translations.

Ln x for x 0. Sin 1 y qy 1 csc y. 2 ffgfg gg Quotient Rule 5.

Fg fx gx 3. Compilation of all trigonometric identities such as those found in Trigonometry books. Strip 1 sine out and convert rest to cosines using sin 1 cos22xx then use the substitution uxcos.

Cf cf x 2. Trigonometric Formula Sheet De nition of the Trig Functions Right Triangle De nition Assume that. 0.

Trig Cheat Sheet Definition of the Trig Functions Right triangle definition For this definition we assume that 0 2 p. Some Continuous Functions Partial list of continuous functions and the values of x for which they are continuous. Y cos x -1le yle 1.

Q adjacent opposite hypotenuse adjacent cos q. The formulas particular to trigonometry have. Trigonometry is the study of triangles which contain angles of course.

Once the sheet is printed. Y sin x -1le yle 1. Nn1 d xnx dx.

Cos x and sin x for all x. Trig Functions cheat sheet. Trig Formula Sheet to print on a single sheet side and side.

0 d c dx 6. Definition of the Trig Functions Right triangle definition For this definition we assume that p 0 q or 0 q 90. In the formulas given here you have.

Y csc x -infty yle -1bigcup 1le y infty. Trig Cheat Sheet Definition of the Trig Functions Right triangle definition For this definition we assume that 0 2 π. Write the equation for each graph below.

X y coordinates on a graph. Opposite sin hypotenuse q hypotenuse csc opposite q adjacent cos hypotenuse q hypotenuse sec adjacent q opposite tan adjacent q adjacent cot opposite q P Unit circle definition For this definition q is any angle. If fx and g x are differentiable functions the derivative exists c and n are any real numbers 1.

Pre-Calc Trigonometric Identities The six trigonometric functionsThe six trigonometric functionsReciprocalsReciprocalsReciprocals IdentitiesIdentities r x y hyp opp x csc 1 sin y x r opp hyp x sin 1 csc r x x hyp adj x sec 1 cos x x r adj hyp x cos 1 sec x x x y adj opp x cos sin tan x x y x x opp adj x sin cos tan 1 cot. Opposite sin hypotenuse θ hypotenuse csc opposite θ adjacent cos hypotenuse θ hypotenuse sec adjacent θ opposite tan adjacent θ adjacent cot opposite θ Unit circle definition For this definition θ is any angle. Products and some Quotients of Trig Functions For sin cosnmx xdx we have the following.

Y x y hypotenuse. Trig Cheat Sheet Definition of the Trig Functions Right triangle definition For this definition we assume that 0 2 p. D diameter or distance.

Sines and cosines are two trig functions that factor heavily into any study of trigonometry. Use the worksheetssite password to open the PDF file. N x n odd for all x.

Y sec y -infty yle. And s arc length. Fg f g fg Product Rule 4.

Trig Cheat Sheet Definition of the Trig Functions cote -l Formulas and Identities Tangent and Cotangent Identities Half Angle Formulas sin tan cos9 Reciprocal Identities CSC 9 Sin 6 sec6 cos 9 cot O tan 6 cos9 cote sin 6 sin 9 csc6 cose sece tan 9 cot O sin2 0 cos2 9 tan 2 l cos 26 I cos 20. Trig Cheat Sheet. Strip 1 cosine out and convert rest to sines using cos 1 sin22xx then use the substitution uxsin.

Opposite sin hypotenuse q hypotenuse csc opposite q adjacent cos hypotenuse q hypotenuse sec adjacent q opposite tan adjacent q adjacent cot opposite q Unit circle definition For this definition q is any angle.


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