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Why does cos x equal cos -x?

cos x equals cos -x because cos is an even function. An even function f is such that f(x) = f(-x).


How do you solve triangle EFG given that f equals 15 g equals 18 and f equals 29?

I assume you mean EFG are the interior angles you need to find and efg are the sides( must be sides as they do not add to 180). Use law of cosines. Need to change to your letters; twice. Then for third angle subtract from 180 degrees I assume you mean e = 29 ( you need to be more careful in mathematics ) DEGREE MODE! f^2 = g^2 + e^2 - 2ge cos(F) 15^2 = 18^2 + 29^2 - 2(18)(29) cos(F) 225 = 1165 - 1044(cos F) -940 = -1044(cos F) 0.90038 = cos F arcos(0.90038) = F F = 26 degrees g^2 = e^2 + f^2 - 2ef cos(G) 18^2 = 29^2 + 15^2 - 2(29)(15) cos(G) 324 = 1066 - -870(cos G) -742 = -870(cos G) 0.85287 = cos G arcos(0.85287) = G G = 31 degrees Now just subtract these answers from 180 degrees for E 180 - 26 - 31 E = 123 degrees F = 26 degrees G = 31 degrees


If fx equals cossinx2 then f prime equals?

f(x)=cos(sin(x2)) [u(v)]' = u'(v) * v' so f'(x) = cos'(sinx(x2)) * sin'(x2) * (x2)' f'(x) = -sin(sin(x2)) * cos(x2) * 2x = -2x sin(sin(x2)) cos(x2)


What is the derivative of 6 sin x plus 2 cos x?

F(x) = 6 sin(x) + 2 cos(x)F'(x) = 6 cos(x) - 2 sin(x)


How do you differentiate cos x all squared?

If this is a homework assignment, please consider trying to answer it yourself first, otherwise the value of the reinforcement of the lesson offered by the assignment will be lost on you.The deriviative d/dx cos2(x) can be evaluated using the product rule.Recall that d/dx f(x)g(x) = g(x) d/dx f(x) + f(x) d/dx g(x)In this case, both f(x) and g(x) are cos(x), and cos2x = cos(x)cos(x), so...d/dx cos(x)cos(x) = -cos(x)sin(x) - cos(x)sin(x) = -2sin(x)cos(x)

Related questions

If f(x) cos(2x).cos(4x).cos(6x).cos(8x).cos(10x) then find the limit of 1 - f(x)35(sinx)2 as x tends to 0 (zero).?

I'm sorry the question is not correctly displayed. If f(x) = cos(2x).cos(4x).cos(6x).cos(8x).cos(10x) then, find the limit of {1 - [f(x)]^3}/[5(sinx)^2] as x tends to 0 (zero).


Why does cos x equal cos -x?

cos x equals cos -x because cos is an even function. An even function f is such that f(x) = f(-x).


Why is cos an even function?

An even function is one where f(x) = f(-x) For cosine, cos(x) = cos(-x), thus cosine is an even function.


How do you solve triangle EFG given that f equals 15 g equals 18 and f equals 29?

I assume you mean EFG are the interior angles you need to find and efg are the sides( must be sides as they do not add to 180). Use law of cosines. Need to change to your letters; twice. Then for third angle subtract from 180 degrees I assume you mean e = 29 ( you need to be more careful in mathematics ) DEGREE MODE! f^2 = g^2 + e^2 - 2ge cos(F) 15^2 = 18^2 + 29^2 - 2(18)(29) cos(F) 225 = 1165 - 1044(cos F) -940 = -1044(cos F) 0.90038 = cos F arcos(0.90038) = F F = 26 degrees g^2 = e^2 + f^2 - 2ef cos(G) 18^2 = 29^2 + 15^2 - 2(29)(15) cos(G) 324 = 1066 - -870(cos G) -742 = -870(cos G) 0.85287 = cos G arcos(0.85287) = G G = 31 degrees Now just subtract these answers from 180 degrees for E 180 - 26 - 31 E = 123 degrees F = 26 degrees G = 31 degrees


If fx equals cossinx2 then f prime equals?

f(x)=cos(sin(x2)) [u(v)]' = u'(v) * v' so f'(x) = cos'(sinx(x2)) * sin'(x2) * (x2)' f'(x) = -sin(sin(x2)) * cos(x2) * 2x = -2x sin(sin(x2)) cos(x2)


What is the derivative of 6 sin x plus 2 cos x?

F(x) = 6 sin(x) + 2 cos(x)F'(x) = 6 cos(x) - 2 sin(x)


What does cos omak mean?

cos= vagina omak= mother's cos omak = Mother's vagina Basically its, f**k your mother in arabic.


How do you differentiate cos x all squared?

If this is a homework assignment, please consider trying to answer it yourself first, otherwise the value of the reinforcement of the lesson offered by the assignment will be lost on you.The deriviative d/dx cos2(x) can be evaluated using the product rule.Recall that d/dx f(x)g(x) = g(x) d/dx f(x) + f(x) d/dx g(x)In this case, both f(x) and g(x) are cos(x), and cos2x = cos(x)cos(x), so...d/dx cos(x)cos(x) = -cos(x)sin(x) - cos(x)sin(x) = -2sin(x)cos(x)


How can you find the theta if the given is just the coefficient friction and the mass?

If by theta you mean the angle at the base of slope on which is the body laying, and you want to calculate minimal theta for which the blocks starts to slide: Let's first calculate: weight: Q = mg force normal to the slope: N = Q cos theta = mg cos theta force tangent to the slope: F = Q sin theta = mg sin theta force of friction: T = fN = fmg cos theta, where f is coefficient of friction The body will start to move downwards, when T = F, or: fmg cos theta = mg sin theta which after simplyfying becomes: f cos theta = sin theta, f = sin theta / cos theta f = tan theta Therefore, theta = arc tan f As you see, the angle only depends on friction coefficient f. (If that's not a problem you asked to be solved, edit your question please to precisely state what needs to be calculated)


What is dydx of sincostanx?

If y = sin(cos(tan(x))) Using the chain rule: (f(g(x)))' = f'(g(x)).g'(x) Then dy/dx = cos(cos(tan(x))).-sin(tan(x)).sec2(x) = -cos(cos(tan(x))).sin(tan(x)).sec2(x) Unfortunately I don't think this can be simplified much more. ( sec = 1/cos )


What is the Derivative of Sin x Cos x?

This function is comprised of two simple functions multiplied together, so we'll use product rule: the derivative of [f(x) * g(x)] = f(x)*g'(x) + f'(x)*g(x).In this case,f(x) = sin(x)which means f'(x) = cos(x)g(x) = cos(x)which implies g'(x) = -sin(x)So, following the formula above, the derivative of sin(x)*cos(x) is= sin(x)*-sin(x) + cos(x)*cos(x)= -sin2(x) + cos2(x)= cos(2x)This last line is one of the many trig identities that are hard to remember.


What are 2 kinds of forces?

There are scalar forces and vector forces which are the components of a Quaternion force, F = f + F = |F|(cos(F) + v sin(F))