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Luokat: Kaikki - functions - trigonometry - domain - range

jonka Kejaun Tate 9 vuotta sitten

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Trigonometric Function

Trigonometric functions are mathematical concepts that relate the angles of a triangle to the lengths of its sides. Each function has unique properties and characteristics, including their domains, ranges, and whether they are odd or even.

Trigonometric Function

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Trigonometric Function

A = adjacent to the angle

O = opposite to the angle

H = hypotenuse

Cotangent (Cot)

odd

Range: All reals

Domain: All x's except tanx=0

cotx = a/o

Cosecant (Csc)

Domain: All x's except sinx=0

cscx = h/a

Secant (Sec(

Range: Both when y is less than or equal to 1 and greater than or equal to 1

Domain : All x's except where cosx = 0

secx = h/a

Tangent (Tan)

Range: All Real

Domain : All Real except where cosx=0

tan x = o/a

Sine (Sin)

Even

Range : [-1,1]

Domain: All Real

sinx = o/h

Cosine (Cos)

Odd

Range [-1,1]

Domain : All Real

cosx = a/h