A-Level Maths Edexcel 9MA0

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#8 Use inverse trigonometric functions and graphs

[b]uArcsine[/u]/b

(y=\arcsin{x} \iff \sin{y}=x)

Domain: (-1≤x≤1 \quad) Range: (-\dfrac{\pi}{2}≤y≤\dfrac{\pi}{2})

mtaimg/images/topics/5/5-54-1.png/mtaimg

[b]uArccosine[/u]/b

(y=\arccos{x} \iff \cos{y}=x)

Domain: (-1≤x≤1 \quad) Range: (0≤y≤\pi)

mtaimg/images/topics/5/5-54-2.png/mtaimg

[b]uArctangent[/u]/b

(y=\arctan{x} \iff \tan{y}=x)

Domain: (-\dfrac{\pi}{2}≤y≤\dfrac{\pi}{2} \quad) Range: (y∈ℝ)

mtaimg/images/topics/5/5-54-3.png/mtaimg

[b]uInverse trigonometric functions[/u]/b

(y=\arcsin{x} \iff \sin{y}=x)

(y=\arccos{x} \iff \cos{y}=x)

(y=\arctan{x} \iff \tan{y}=x)