give the formula for cos (2x) in terms of cos x and sin x

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# give the formula for cos (2x) in terms of cos x and sin x

using the trig identities, I just can't remember how this is done

## Research, Knowledge and Information :

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### Give the formula of cos(2x) in terms of cos(x) and sin(x)

Give the formula of cos(2x) in terms of cos(x) and sin(x)

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Lists the basic trigonometric identities, ... sin(2x) = 2 sin(x) cos(x) cos(2x) = cos 2 ... Terms of Use; Privacy; Contact;

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### if n is a +ive Z, and..... (Calculus)

The first part is covered by Proof by Induction, and gives us the iteration formula I_(n-1) – I_n = 2π For brevity and clarity I am going to use the notation int[f(x)] to represent the integral, from 0 to 2π, of f(x) with respect to x. To prove: int[sin^2(nx/2) / sin^2(x/2)] = 2nπ

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QUESTION: what is cosh x in terms of i as we know that sinh x=1/i(sin ix). By definition, cosh(x) = (1/2)(e^x + e^(-x)) and e^(ix) = cos(x) + i.sin(x) and e^(-ix) = cos(x) - i.sin(x) so adding the above two equations gives us, e^(ix) + e^(-ix) = 2.cos(x) (1/2)(e^(ix) + e^(-ix))

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### given : sin (x+y) = sin x cos y + cos x sin y and cos (x+y) = cos x cos y-sin x sin y derive a formula for cot (x+y) and derive a formula for cos(2x)

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Question: intergrate the following question:  sin(3x+a).sin(x-a). There is a formula for the product of two sines. sinA.sinB = (1/2)(cos(A-B) - cos(A+B)) Using this formula gives us, I = int sin(3x+a).sin(x-a) dx = int (1/2)(cos((3x+a) - (x-a)) - cos((3x+a) + (x-a))) dx I = int (

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### intergration

Question: intergrate the following question:  sin(3x+a).sin(x-a). There is a formula for the product of two sines. sinA.sinB = (1/2)(cos(A-B) - cos(A+B)) Using this formula gives us, I = int sin(3x+a).sin(x-a) dx = int (1/2)(cos((3x+a) - (x-a)) - cos((3x+a) + (x-a))) dx I = int (

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### give the formula for cos (2x) in terms of cos x and sin x

kosine(2x)=kosine^2 (x) -sine^2 (x) & then yu hav sine^2+kosine^2=1, so yukan get variashuns on this

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### give the formula for cos (2x) in terms of cos x and sin x

kosine(2x)=kosine^2(x) - sine^2(x)

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### Find a power series for pi.

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### inverse properties

All the trig functions have inverses: inverse of sin is arcsine or sin-1; cos is arccos or cos^-1; tan is arctan or tan^-1; and so on. The inverse property is sin(arcsin(x))=arcsin(sin(x)). This property is shared by all the inverses: if f is the trig function and f^-1 is the inverse, then f(f^-1(x)

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### What is the exact value (not decimal) of the sin of a 40 degree angle of a right triangle?

sin3A=sin(2A+A)=sin2AcosA+cos2AsinA=2sinAcos^2A+sinA(1-2sin^2A)=  2sinA(1-sin^2A)+sinA-2sin^3A=2sinA-2sin^3A+sinA-2sin^3A=3sinA-4sin^3A.  If A=40, sin120=3sin40-4sin^3(40)=sqrt(3)/2. Put x=sin40: 3x-4x^3-sqrt(3)/2=0 or 8x^3-6x+sqrt(3)=0, which reduces to: x^3-(3/4)x+sqrt(3)/8=0,&n

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