Question 1)Give a short derivation of cos 60 degree. Solution)Let us consider a right- angled triangle with one angle as 60°. The other two angles of the triangle are 90°,30°. For a triangle with angles 60°,90°,30°the sides are always in the ratio 1: 2: \[\sqrt 3 \] (...
Taylor Series | Definition, Formula & Derivation from Chapter 8 / Lesson 10 49K Read the Taylor series definition and learn about a special case of the Taylor series known as the Maclaurin series. See Taylor series examples and learn how to use the Taylor series formula. ...
Find theta given 4=16cos(theta)-43.977sin(theta). Find y': y=sec 2 theta/1+tan 2 theta Find \theta. \sin(2\theta + 10^\circ)= \cos(3\theta - 20^\circ) Let r = e^{\Theta } Find \int_{0}^...
The formula sin(alpha) - sin(beta) = 2sin((alpha-beta)/2)cos((alpha+beta)/2) can be used to change a (blank) of two sines into the product of a sine and a cosine expression. A. sum B. total C. multiple D. difference Use a product-to-sum ...
Taylor Series | Definition, Formula & Derivation from Chapter 8/ Lesson 10 49K Read the Taylor series definition and learn about a special case of the Taylor series known as the Maclaurin series. See Taylor series examples and le...
Taylor Series | Definition, Formula & Derivation from Chapter 8/ Lesson 10 49K Read the Taylor series definition and learn about a special case of the Taylor series known as the Maclaurin series. See Taylor series examples and learn how to use the Taylor series formula. ...
a) Calculate the derivation \overrightarrow{r}(t) and the norm \lefLet vector u(t) = ( 2t, sin t, -cos t) and vector v(t) = (1, t^2, -t). Find d/di (u(t) x v(t)).Consider the ve...
Answer to: Just so you know: x=\rho \cos(\theta)\sin(\phi), y=\rho \sin(\theta)\sin(\phi), \text{ and } z = \rho \cos(\phi), \text{ and } By...
What is the gradient of h(x,y)=ycos(x−y) and the maximum value of the directional derivative at (0,π3)? Gradient: For a function f(x,y) at (a,b), the gradient is defined as fx(a,b)i^+fy(a,b)j^. The directional deriv...
Find the gradient of the function below and the maximum value of the directional derivative at the given point {eq}z = e ^{-x} \cos y, (0, \frac{\pi}{3}) {/eq}. Gradient of Function: The gradient of the ...