promath The derivative of the mod cosx is equal to (- sinx cosx)/|cosx|. Here let us learn how to differentiate mod cosx, that is, how to find d/dx(|cosx|). The derivative formula of mod cosx is given as follows. $\boxed{\dfrac{d}{dx}(|\cos x|)=\dfrac{-\sin x \cos x}{|\cos x|}}$, provided that cosx is non-zero. The following formula is very useful to … Read more
The integral of cosec square x is equal to -cot(x)+C where C is a constant. In this post, we will learn how to integrate cosec^2x. The integration formula of cosec^2x is given as follows: ∫cosec2x dx = -cotx+C What is the Integration of cosec^2x Answer: The integration of cosec2x is -cotx+C. Proof: First, recall the … Read more
The cot2x identity is given by cot2x = (cot2x-1)/2cotx. Note that cot2x is the cotangent of the angle 2x. The cot2x formula is as follows: cot2x = $\dfrac{\cot^2 x -1}{2 \cot x}$. Let us now learn how to prove the cot2x identity. Cot2x Formula in Terms of cotx The cot2x formula in terms of cotx … Read more
The cosec2x identity is given by cosec2x = (tanx + cotx)/2. That is, the formula of cosec 2x is equal to cosec 2x = $\dfrac{\tan x + \cot x}{2}$. Now, let us learn how to prove the cosec2x formula. Proof of cosec2x = (tanx+cotx)/2 Note that cosecx is the reciprocal of sinx. So we have … Read more
The value of sin(5pi/2) is equal to 1. The angle 5π/2 is equivalent to 450° and the value of sin 450° is equal to 1. The sin 5π/2 formula is given by $\sin \dfrac{5\pi}{2}=1.$ Let us learn how to find the value of sin(5pi/2). Value of Sin(5π/2) Answer: The value of sin 5π/2 is 1. … Read more
The value of cos(7pi/2) is equal to 0. Cos(7pi/2) is the value of cosine trigonometric function for 7π/2 radians. The formula of cos 7π/2 is given by $\boxed{\cos \dfrac{7\pi}{2} = 0}.$ Note that What is the Value of Cos 7pi/2? Answer: cos(7π/2) is equal to 0. Explanation: Note that 7π/2 can be written as follows. … Read more
The value of cos(5pi/2) is equal to 0. The formula of cos(5π/2) is given by $\boxed{\cos \dfrac{5\pi}{2} = 0}.$ Cos(5pi/2) is the value of cosine trigonometric function for 5π/2 radians. Note that What is the Value of Cos 5pi/2? Answer: cos(5π/2) is equal to 0. Explanation: Note that 5π/2 can be written as follows. $\dfrac{5\pi}{2}=2\pi … Read more
The sec2x identity is given by sec 2x = (sec2x cosec2x) / (cosec2x – sec2x). That is, the formula of sec2x is equal to sec 2x = $\dfrac{\sec^2x \cdot \text{cosec}^2x}{\text{cosec}^2x – \sec^2x}$ Now, let us learn how to find the sec2x identity Identity of sec2x Question: What is the identity of sec2x? Answer: The sec2x … Read more
The value of sin(3pi/2), that is, sin 270° is equal to -1. So the formula of sin(3π/2) is given by sin $\frac{3\pi}{2}$ = -1. Here we will learn how to find the value of sin 3pi/2. Note that Sin 3pi/2 Value Question: What is the value of sin(3pi/2)? Answer: sin(3π/2) is equal to -1. Explanation: … Read more
The limit of cos(1/x) as x approaches 0 does not exist. In this post, we will learn how to find the limit of cos(1/x). limx→0 cos(1/x) Does Not Exist. Limit of cos(1/x) when x→0 Question: What is the limit cos(1/x) when x tend to 0? Answer: The limit of cos(1/x) does not exist when x tends … Read more