Cos 2x is also called a Double angle formula as they have 2 or double angles in the trigonometric functions. Practice Cos 2x formula examples and other trigonometric formulas at BYJU'S.
cos2x can be written as cos(x+x).The cosine of the sum of two angles is given by the following identity cos(A+B)=cosAcosB−sinAsinB Here put A=B=x cos(2x)=cosxcosx−sinxsinx ⇒cos(2x)=cos2x−sin2x=2cos2x−1 ...
Without using Taylor's formula c_{n}=\frac{f^{(n)}(a)}{n!} , find the power series centered at a for the functions below. (a). \frac{1}{1-2x},a=0 (b) sin^{2}x (compute only the first 3 nonzero terms). Give...
To find the values of p such that the equation 2cos2x−(p+3)cosx+2(p−1)=0 has a real solution, we can treat this as a quadratic equation in terms of cosx. Let's denote y=cosx. Then, we can rewrite the equation as: 2y2−(p+3)y+2(p−1)=0 Step 1: Identify the...
We will use the integration by parts formula:∫udv=uv−∫vduLet:- u=log(sinx) (First function)- dv=cos(2x)dx (Second function) Now, we need to find du and v:- Differentiate u: du=1sinxcosxdx=cotxdx- Integrate dv: v=∫cos(2x)dx=12sin(2x) Step 3: Substitute into the ...
115K Learn about Maclaurin and Taylor series. Understand how to find Maclaurin series and the Maclaurin series formula. Discover power series and series expansion. Related to this QuestionFind the terms in the Maclaurin series for the functio...
To solve the problem, we need to find the value of cos−1(2x2−1)−2sin−1(x) given that x∈(−1,0). 1. Substitute x with cos(θ): Since x lies in the interval (−1,0), we can let x=cos(θ) where θ is in the range (π/2,π). Hint: This substitution ...