What is the derivative of \cos^2(x)? Is it the same as (\cos(x)) \ast (\cos(x))? Give f(x) = 2 \tan(x) - \cos(x). a. 4 sec(x) - sin (x) b. 2 \sec^2 (x) - \sin (x) c. 4 \sec^2(x) + \sin (x) d. \sec^2(x) - \sin (x) e. 2 \sec^2 (...
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The derivative of a function is the measure of the rate of change of a function. It gives an explanation of the function at a specific point. The integral is the measure of the area under the curve of the function. It accumulates the discrete values of a function over a range of values...
What is the derivative of \cos^2(x)? Is it the same as (\cos(x)) \ast (\cos(x))? Simplify the given expression using a sum and difference formula: cos(x + 2pi/3) Simplify the trigonometric expression \dfrac{sec(x) + csc(x)}{1+ tan(x)} by writing the simplified form in...
It is determined using the tangent function, such as tan of angle is equal to the ratio of the height of the tree and the distance. Let us say the angle is θ, then tan θ = Height/Distance between object & tree Distance = Height/tan θ ...
If it exists what islimh→0f(3+h)−f(3)h Definition of the Derivative The derivative of a function is also called the instantaneous rate of change of a function. That means we need to find the rate of change of this function at a point. However, we're used to finding the...
, the derivative and the integral will be given as: derivative of sin(x), f′(x) = cos(x) integral of sin(x), ∫f(x) dx = −cos(x) + c (where c is the constant of integration) law of sine functions in trigonometry according to law of sines in ...
What is the period of y = cot(x)?The Cotangent Function:In trigonometry, the cotangent function is one of the six main trigonometric functions. Like all of the trigonometric functions, the cotangent function contains special properties and characteristics. One of those characteristics is that it ...
When none of the above integration rules can be applied, and if some part of the integrand is the derivative of the other part of theintegral, then we use thesubstitution method. In this method: Assume a part of the integrand to be u. ...
A) cosec(x) B) sec(x) C) cot(x) If f (x) = sin^2 (8 x), then what is the derivative of f(x) with respect to x? Prove that dfrac{cos theta}{sin theta } = cot theta . Prove: tan theta + cot theta = 2 csc 2...