sin-1(1/x) = csc-1x, when |x| ≥ 1 sin-1x + cos-1x = π/2, when x ∈ [-1, 1] sin-1(2x √1 - x²) = 2 sin-1x, when -1/√2 ≤ x ≤ 1/√2 and sin-1(2x √1 - x²) = 2 cos-1x, when 1/√2 ≤ x ≤ 1Derivative...
[ Hint : use the formula 1+x+x2+x3 +... =11−x, where |x|<1 ] 02:02View Solution If sin−1(x−x22+x34−...∞)+cos−1(x2−x42+x64−...∞)=π2 and 0<x<√2, then x is equal to 07:57View Solution If I=∫π0x2sinx(2x−1)(1+cos2x)dx then the...
根据Euler's reflection formula可知：sin(−2x)=πΓ(−2πx)Γ(1+2πx).对于Γ(x)，我...
} &=-2\cdot\sum_{n=0}^{\infty} \frac{(-1)^n\cdot (2x)^{2n}}{(2n)!}\\ &=-2\...
sin 2x =$\frac{2 tan x}{1- tan^2 x}$ cos 2x =$\frac{1- tan^2 x}{1+ tan^2 x}$ Formulae to Transform the Product into Sum or Difference We have just learnt the formulae involving the identities, sin ( A + B ), sin ( A – B ) and so on. Now we shall discuss abou...
Integrate: \int (x^2+1)^9 2x dx Integrate (a) \int \frac{2^{ln(1/x){x} dx (b) \int x^3 cos(x^2) dx Integrate \int \frac{-2}{e^x - 2} \, dx Integrate: \int x \tan (x^2) \sec (x^2) dx Integrate \int \frac{x}{ \sqrt{2x + 1 dx ...
How do you find the derivative ofarcsin(2x+1)? https://socratic.org/questions/how-do-you-find-the-derivative-of-arcsin-2x-1 −x(x+1)1Explanation: Use the formula:dxdarcsin(au)=a2−u21dxdu... How do you simplifysin5x+sin7x?
华里士公式(Wallis formula),也被称为点火公式,是数学中用于求解特定类型积分的一种方法。该公式主要用于解决具有三角函数特征的积分问题,特别是那些涉及到sin^n(x)或cos^n(x)的积分,能够显著简化计算过程。其核心在于处理形如∫(0,π/2) sin^n(x) dx 或∫(0,π/2) cos^n...
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tan 2y = 2 tan y/{1-tan^(2) y}. What is sin 2x double angle? The double angle formula is used to calculate sin 2x, cos 2x, tan 2x, for any given angle 'x'. The sine double angle formula for an angle 'x' is sin 2x = 2sin(x)cos(x).What...