Calculus Trig Identities Cheat Sheet
In the chart below please focus on memorizing the following categories of trigonometric identities. Trigonometric substitution background we have a couple of free integrals on the freebie cheat sheet.
Hyperbolic Trig Identities Cheat Sheet
Cot cos sin 1 tan 9.
Calculus trig identities cheat sheet. But you can take some of the fear of studying calculus away by understanding its basic principles such as derivatives and antiderivatives integration and solving compound functions. Basic properties and formulas if fx and g x are differentiable functions the derivative exists c and n are any real numbers 1. The other trigonometric functions are defined in terms of sine and.
Calculus ii for dummies cheat sheet by its nature calculus can be intimidating. If fx and g x are differentiable functions the derivative exists c and n are any real numbers 1. Sec 1 cos 5 6.
Cos cos cos sin sin. Cos 1 sec 4. Tan sin cos 1 cot 7 8.
1 reciprocal identities 2 quotient identities 3 pythagorean identities. 21 trig identities every calculus student should know. Cot2 1 csc2 12.
Sin 1 csc 2. Trig identities cheat sheet a cheat sheet is very useful for students or any learner if they want to learn all the concepts of a topic in a short period of time. Tan2 1 sec2 11.
Knowing equivalent trigonometric expressions and being able to substitute one for another may be the key to solving or failing to solve a simple calculus problem. So a cheat sheet can be made for all the identities too. Cf cf x 2.
It will save the time and effort of students in understanding the concepts and help them perform better in exams. Trig identities cheat sheet author. 2 11 2011 12 00 00 am.
Sin sin cos cos sin 14. Csc 1 sin 3. 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.
Calculus ii trigonometric formulas basic identities the functions cos θ and sin θ are defined to be the x and y coordinates of the point at an angle of θ on the unit circle. Z 1 p a 2 x dx sin 1 x a c z 1 a2 x2 dx 1 a tan 1 x a c in both a 0 we got these from the derivatives of the inverse trig functions h sin 1 x i 0 1 p 1 x2 so z 1 p 1 x2 dx sin 1 x c that s fine but it isn t a technique of. Trig cheat sheet definition of the trig functions right triangle definition for this definition we assume that 0 2 p q or 0 q 90.
Therefore sin θ sin θ cos θ cos θ and sin2 θ cos2 θ 1. Sin sin cos cos sin 13. Sin2 cos2 1 pythagorean identity 10.
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