limx→a f (x) g(x) = lim x→a f '(x) g'(x) So we have: lim x→0 x sinx = lim x→0 1 cosx = 1 cos0 = 1 1 = 1. NOTE. The question was posted in "Determining Limits Algebraically" , so the use of L'Hôpital's rule is NOT a suitable method to solve the problem. Therefore this solution is invalid. ANSWER TO THE NOTE. This limit can not be Calculus Simplify 2sin (x)cos (x) 2sin(x)cos (x) 2 sin ( x) cos ( x) Apply the sine double - angle identity. sin(2x) sin ( 2 x) Free math problem solver answers your algebra, geometry, trigonometry, calculus, and statistics homework questions with step-by-step explanations, just like a math tutor. Thebottom triangle is a right triangle with hypotenuse length h = cos phi. So if x were your unknown side, doing normal trig on it gives cos theta = x/h = x / (cos phi), or in other words x = (cos theta)(cos phi). All of the sides in that diagram are defined in the same way, relative to the one side that was defined to be of length 1. cisis a mathematical notation defined by cis x = cos x + i sin x, where cos is the cosine function, i is the imaginary unit and sin is the sine function. x is the argument of the complex number (angle between line to point and x-axis in polar form).The notation is less commonly used in mathematics than Euler's formula, e ix, which offers an even shorter notation for cos x + i sin x, but cis(x cosx) cos ( x) Because the two sides have been shown to be equivalent, the equation is an identity. sin(x)cot(x) = cos(x) sin ( x) cot ( x) = cos ( x) is an identity. Free math problem solver answers your algebra, geometry, trigonometry, calculus, and statistics homework questions with step-by-step explanations, just like a math tutor. Secant cosecant and cotangent, almost always written as sec, cosec and cot are trigonometric functions like sin, cos and tan. sec x = 1. cos x. cosec x = 1. sin x. cot x = 1 = cos x. tan x sin x. Note, sec x is not the same as cos -1 x (sometimes written as arccos x). Remember, you cannot divide by zero and so these definitions are only valid 3Gcd4y6.

what is cos x divided by sin x