Basic Mathematics

Trigonometry Formulas and Identities Trigonometry Formula is a set of mathematical equations and relationships that are used to solve problems related to angles and sides of triangles. Trigonometry formulas are fundamental tools in the field of trigonometry and are used extensively in various disciplines such as mathematics, physics, engineering, and navigation. All Trigonometry formulas help in calculating the values of unknown angles or sides based on the given information. The following is a list of all Trigonometry Formulas. Tangent and…

Derivatives List of derivatives established for standard functions Topic Derivatives Examples Find the derivative of e^x sinx+x^ncosx Find the derivative of x/sinx Differentiate sqrt((1-cos2x)/ (1+cos2x)) Differentiate f(x) =x^5 e^x+x^3 logx-2^x Find the derivatives of (secx-1)(secx+1) Find the derivatives of cos(x+a) Find the derivative of f(x) =x cosx Find the derivatives of cot^3x Find the derivatives of (x^2+1) cosx Find the derivative of 3^x+x^3+4x-6 Find the derivative of function y=1+x+x^2+…+x^50 at x=1 Find the derivatives of 2x^4+x Find the derivative of…

Limit and its fundamentals Topic Limit and its fundamentals Examples Evaluate lim x→a ((sqrt(x)+sqrt(a))/(x+a)) Find the value of lim x→0 (e^x-1)/x Evaluate lim (x→0) sin nx/x Evaluate lim (x→1) ((sqrt(1+x)-sqrt(1-x))/(1+x)) Evaluate lim (n→∞) (1+2+3+…+n)/n^2 Evaluate lim (x→0) (e^ (-x)-x-1)/x Evaluate lim (x→5) (e^x-e^5)/(x-5) Show that lim (x→4) |x-4|/(x-4) does not exist Evaluate lim (x→1) ((2x-3) (sqrt(x)-1)) / (2x^2+x-3) Evaluate lim (x→0) tan2x-sin2x /x^3 Evaluate lim (x→pi/6) (sqrt(3) sinx-cosx )/(x-pi/6) Evaluate lim (x→0) (log(6+x)-log(6-x))/x Find lim (x→1) f(x), where f(x) =…