Answer to: Prove the identity. sin theta(csc theta + cot theta) = 1 + cos theta. By signing up, you'll get thousands of step-by-step solutions to...
cot theta - tan theta = cos 2 theta / sin theta cos theta Prove the identity. cos (pi - theta) + sin (pi / 2 + theta) = 0 Prove that, sin theta + sin 2 theta + sin 3 theta + ... + sin n theta = dfrac{dfrac{sin n theta}{2} sin dfrac{(n ...
Solve the equation: (sect+tant)2=1+sint1−sint. Fundamental Trigonometric Identity The fundamental trigonometric identity establishes that the squared sum of the sine and cosine of an angle equals 1, sin2x+cos2x=1. This identity allows us to exp...
Find the slope of the tangent to y=sin2x+cos2x at the point where x=π. a) 0.112 b) 0 c) 1 d) -3.124 Finding the Slope: We can determine the slope by differentiating the function with respect to the variable at the indicated point....
Prove the following trigonometric identities: 1) {sec x + csc x} / {1 + tan x} = csc x 2) sin x + sin x * cot^2 x = csc x Prove the identity. sin theta cot theta = cos theta. Prove the following identity. cot theta - tan theta = cos 2 theta / sin theta co...
Answer to: Show using power series that cos (\Theta )+ i sin (\Theta)=e^{i \Theta} By signing up, you'll get thousands of step-by-step solutions to...
Find the limit as x approaches 0 of cos(x + sin(x)). What is the limit of f(x) equals 1 as x approaches pi ? Solve. lim x goes to 0 x^{-2} sin(x) Find the limit: lim as x goes to 0 of sinx/sin3x. Evaluate the limit as (x,y) approaches (0,0) of {3y^...
Find the length of the curve over the given interval. x(t) = 3t^2 + 1, y(t) = t^3 - 1; 0 \le t \le 2. Find the length of the curve over the given interval. r = 24\cos\theta, -\frac{\pi}{2} \leq \theta \leq \frac{\pi}{2}....
Answer to: Let x=r cos(theta), y=r sin(theta), with z= f(x,y). Show that fxx + fyy = frr + (1/r)fr + (1/r^2)f(theta) - theta. By signing up, you'll...
Solve. y' equals e^x + sin y Solve the equation: sin x + cos x + sin x cos x = 1. Solve the equation 2sin x cos x = sin x. (Answer in degrees.) Solve the linear equation: x dy / dx - y = x^2 sin x. Solve for x. sin x = -sqrt2/2 ...