Advantages of secant method: 1. It converges at faster than a linear rate, so that it is more rapidly convergent than the bisection method. 2. It does not require use of the derivative of the function, something that is not available in a number of applications. 3. It requires only one function evaluation per iteration, as compared with Newton's method which requires two. Disadvantages of secant method: 1. It may not converge. 2. There is no guaranteed error bound for the computed iterates. 3. It is likely to have difficulty if f 0(α) = 0. This means the x-axis is tangent to the graph of y = f (x) at x = α. 4. Newton's method generalizes more easily to new methods for solving simultaneous systems of nonlinear equations.
If this is a homework assignment, please consider trying it yourself first, otherwise the value of the reinforcement to the lesson offered by the homework will be lost on you.The area of a circle is pi r2.The area of a sector, defined as the proportion of an angle theta over the angle of a full circle is (pi r2 theta) / (2 pi). That simplifies to (r2 theta) / 2.Using degrees, the same equation is (pi r2 theta) / 360. That does not simplify any further.The reason for this is that theta in radians is defined as the proportion of the circumference of the circle, which is 2 pi r. This makes the math come out easier, which is why most trigonometry is done in radians, not degrees.
Well, isn't that a happy little math question? To find the difference between TR(547) and minus TR(543), we first need to calculate TR(547) and TR(543). Then, we simply subtract the two values to find the difference. Just remember, there are no mistakes in math, only happy little miscalculations that we can fix with a little positivity and perseverance.
In all there are [at least] 24 trigonometric functions and ratios. Half of these are circular and the other half are hyperbolic. Sine and Cosine are basic trigonometric funtions, abbreviated as sin and cos. Tangent is the third basic ratio defined as Sin/Cos. For each of these three, there is a corresponding reciprocal function: Sine -> Cosecant (cosec or csc) Cosine -> Secant (sec) Tangent -> Cotangent (cot). Each of the above six has an inverse function, defined on an appropriate domain. They all are named by adding the prefix "arc", for example arcsin, which is usually written as sin-1. The above are the circular functions. Each one of them has a corresponding hyperbolic equivalent. These are named by adding the suffix, "h", thus cosh, sech, arccosh [= cosh-1], etc.
For ease of writing, every time I say lim I mean the limit of _____ as x approaches zero. Lim sin3xsin5x/x^2=lim{[3sin(3x)/(3x)][5sin(5x)/(5x)]}. One property of limits is that lim sin(something)/(that same something)=1. So we now have lim{[3(1)][5(1)]}=15. lim=15
-22 - -22
By factoring I get x-3 divided by x+3
The answer is 4 squared minus 2 squared as 4 squared is 16 minus 2 squared, which is 4, gives you 12 as an answer.
It is 1.
X= plus or minus 1
i = sqrt of (-1) ( imaginary) i squared = sqrt(-1) x sqrt (-1) = -1 (minus one)
variation
3c(squared)-17c-6 = 0 (3c+1)(c-6) = 0 c= negative one third or positive 6
(x - 16)(x + 2) x = 16 or -2
Without knowing what "x" is, we cannot say what the answer will be. And without knowing the answer, we cannot solve for "x". Set x at zero, for example. Zero squared is zero, plus 6 time zero which is zero, minus 55. Your answer is then -55. Set x at one, for example. One squared is one, plus 6 times 1 which is six, minus 55. Your answer is then -48. Etc.
Why don't you figure it out yourself
Multiply both sides by sin(1-cos) and you lose the denominators and get (sin squared) minus 1+cos times 1-cos. Then multiply out (i.e. expand) 1+cos times 1-cos, which will of course give the difference of two squares: 1 - (cos squared). (because the cross terms cancel out.) (This is diff of 2 squares because 1 is the square of 1.) And so you get (sin squared) - (1 - (cos squared)) = (sin squared) + (cos squared) - 1. Then from basic trig we know that (sin squared) + (cos squared) = 1, so this is 0.