We have to integrate tan x tan x can be expressed in terms of sin and cos as given below ∫ (sin x /cos x) .dx---(i) = ∫1/cosx. sin x. dx We... View Article
What is the derivative of 2x Let y=2x On taking natural logs of both sides we get ln y = ln(2x) On differentiating we get lny = xln2 1/y... View Article
A binomial expression is an expression containing two terms joined by either addition or subtraction sign. For instance, (x + y) and (2 – x) are... View Article
Answer: We need to find the derivative of cot x We can find the derivative of cot x by the following method We know that cotx = cosx/sinx... View Article
We have to convert the atmosphere to torr. So first let us know their definitions. An atmosphere (or standard atmosphere) is a non-SI unit of... View Article
Answer: Derivatives in Maths refers to the instantaneous rate of change of a quantity with respect to the other. It helps to investigate the... View Article
The inverse trigonometric function are represented by adding arc in prefix for a trigonometric function, or by adding the power of -1, such as:... View Article
We need to find an expression for cos3x in terms of cos x cos 3x can be written as cos3x=cos(2x+x)-----(i) We know the trignometric identity... View Article
We have to find the values of cos 150∘ and sin 150∘ We know that 150 =180−30 We know that cos (180 - θ)= - cosθ cos 150 = cos (180-30) =... View Article
In the STP system, both pressure and temperature are in their typical form. Pressure and temperature of this system are considered as 760 torr... View Article
Solution We know that (1−cosx) = 2sin2(x/2) sinx = 2 sin (x/2) cos (x/2) 1-cos x / sinx = 2sin2(x/2) / 2 sin (x/2) cos (x/2) On simplyfing... View Article
We need to find the antiderivative of 1/x2 The given function is 1/x2 It can also be expressed as x-2 To find the antiderivative of the given... View Article
We need to simplify 1/sin x. Before simplifying first let us know what sine is. The sine function can be defined as the ratio of the length of... View Article
