The vertex of a quadratic function is calculated by rearranging the equation to its general form, f (x) = a (x – h) 2 k;Wwwmathportalorg 5 Integrals of Trig Functions ∫sin cosxdx x= − ∫cos sinxdx x= − sin sin22 1 2 4 x ∫ xdx x= − cos sin22 1 2 4 x ∫ xdx x= sin cos cos3 31 3 ∫ xdx x x= − cos sin sin3 31 3 ∫ xdx x x= − ln tan sin 2 dx x xdx x ∫=We may need to restrict the domain for the function to have an inverse
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If tan Θ/2 = t, express each of the following in terms of t (sinΘsinΘ/2)/1cosΘcosΘ/2 = t i've tried splitting so that it is sinΘ/1cosΘ (sinΘ/2)/(cosΘ/2) which then becomes sinΘ/1 · For values of tan θ use the formula tan θ = sin θ /cos θ For values the values of cot θ use cot θ = 1/tan θ For the values of sec θ use sec θ = 1/cos θ For the values of cosec θ use cosec θ = 1/sin θ TRANSFORMATION OF ANGLES sin(90 θ) = cosθ, cos(90 θ) = sinθ, tan(90 θ) = cotθ, cot(90 θ) = tanθ, sec(90 θ) = cosecθ, cosec(90 θ) = secθ TRIGONOMETRIC · Sin (x) = – Sin x Cos (x) = Cos x Tan (x) = – Tan x Cot (x) = – Cot x Sec (x) = Sec x Cosec (x) = – Cosec x 7 Value of Sin, Cos, Tan repeat after 2𝛑 Sin (2𝛑 x) = Sin x Cos (2𝛑 x) = Cos x Tan (2𝛑 x) = Tan x
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