WebbSecant, 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 ... Webb20 dec. 2024 · Equivalently, \(f \) is one-to-one if \(f(x_1 ) = f(x_2 ) \) implies \(x_1 = x_2 \). There is a simple horizontal rule for determining whether a function \(y=f(x) \) is one-to-one: \(f \) is one-to-one if and only if every horizontal line intersects the graph of \(y=f(x) \) in the \(xy\)-coordinate plane at most once (see Figure 5.3.3).
Evaluating $\\int_0^{\\pi/4} (\\cos 2x)^{3/2} \\cos x \\, dx$
Webb9 feb. 2016 · Verify cos(2x) = 2sin(x + π 4)cos(x + π 4) First let us understand two identities. sin(2θ) = 2sin(θ)cos(θ) sin( π 2 + θ) = cos(θ) Now let us take our problem. cos(2x) = 2sin(x + π 4)cos(x + π 4) Let us start with the Right Hand side. = 2sin(x + π 4)cos(x + π 4) = sin(2(x + π 4) double angle formula for sine. Webb9 aug. 2024 · In this case since x = 30, then the other angle giving sin(X) = 1/2 is 180 - 30 = 150. Answer. x = 30. x = 150. Thank you! Advertisement Advertisement New questions in Mathematics. help me with this please ASAP!! this is important!! im trying to help my friend out with homework how does information get into your memory
IIT JEE RELATIONS AND FUNCTIONS Find the range of …
Webb16 nov. 2024 · I have to find the range of f ( x) = sin ( x) cos ( 2 x). Here's what I have so far: f ′ ( x) = − cos ( x) cos ( 2 x) − 2 sin ( 2 x) sin ( x). So cos ( x) cos ( 2 x) + 2 sin ( 2 x) sin ( x) = cos ( x) ( 2 cos 2 ( x) − 1) + 4 sin 2 x cos x = 0 . Hence cos ( … Webb15 juni 2024 · Does the range contain 2? Question 3 is the easiest: [ sin ( x) + cos ( x) ] = 2 if and only if sin ( x) = 1 and cos ( x) = 1, and I'm sure that you can convince yourself that this is impossible, no matter value of x you pick. Therefore 2 … Webb10 feb. 2024 · If you want to know how to find the range of a function, just follow these steps. Method 1 Finding the Range of a Function Given a Formula 1 Write down the formula. Let's say the formula you're working with is the following: f (x) = 3x2 + 6x -2. This means that when you place any x into the equation, you'll get your y value. photo monk seal