0
There is a trigonometric identity that states that sec2(x) - tan2(x) = 1, for every x. By rearranging this formula we can find that sec2(x) - 1 = tan2(x).
Wiki User
∙ 14y ago
Add your answer:
Earn +20 pts
What is the advantages of secant method?
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.
Why does the formula for area of a sector one half r-squared theta not hold true if theta is measured in degrees?
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.
What is the limit of sin3x times sin5x divided by x squared as x approaches 0?
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
What are the trigonometric functions and ratios?
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.
What is the amount of time for one rotation?
one day
What is One minus x squared plus x squared minus one minus four?
-22 - -22
What is the product of four x squared minus one over two x squared minus five x minus three and x squared minus six x plus nine over two x squared plus five x minus three?
By factoring I get x-3 divided by x+3
When you subtract one square number from another and the number is 12 what are the two square numbers?
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.
What is sine squared theta subtract six cosine squared theta divided by one minus seven cosine squared theta?
It is 1.
What is x squared minus one equal two using square root?
X= plus or minus 1
What does i squared equal?
i = sqrt of (-1) ( imaginary) i squared = sqrt(-1) x sqrt (-1) = -1 (minus one)
What is the sum of the squared deviations from the mean divided by the count minus one?
variation
By factoring what is 3c squared minus 17c minus 6?
3c(squared)-17c-6 = 0 (3c+1)(c-6) = 0 c= negative one third or positive 6
What is one of the binomial factors of x squared minus 14x minus 32?
(x - 16)(x + 2) x = 16 or -2
What is X squared plus 6x minus 55?
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 does 2 times X plus one all squared equal 2 times X minus one all squared plus 8 times X?
Why don't you figure it out yourself
How do you prove that the sin over one minus the cosine minus one plus the cosine over the sine equals zero?
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.
