# Induction Formula _ Mathematics

Source: Internet
Author: User
Tags cos sin
The value of the same trigonometric function is equal for the same angle as the end edge of the formula. A representation of the angle of the angle: sin (α+k 360°) =sinα (k∈z) cos (α+k 360°) =cosα (k∈z) tan (α+k 360°) =tanα (k∈z) cot (α+k 360°) =cotα (k∈z) SEC (α+k 360°) =secα (k∈z) csc (α+k 360°) =cscα (k∈z) Formula Two π+α the relationship between the trigonometric function value and the trigonometric function value of alpha. A representation of the angle that is set to any angle, in radians: sin (π+α) =-sinαcos (π+α) =-cosαtan (π+α) =tanαcot (π+α) =cotαsec (π+α) =-SECΑCSC (π+α) =-cscα the angle of the angle system: Sin (180°+α) =-sinαcos (180°+α) =-cosαtan (180°+α) =tanαcot (180°+α) =cotαsec (180°+α) =-SECΑCSC (180°+α) =-cscα Formula Three arbitrary angle α and- Relationship between the trigonometric function values of α: sin (alpha) =-sinαcos (Alpha) =cosαtan (Alpha) =-tanαcot (Alpha) =-cotαsec (Alpha) =SECΑCSC (Alpha) =-cscα Formula IV By using Formula Two and Formula Three, we can get the relationship between the trigonometric function values of π-α and α: the representation of the angle under radians: sin (π-α) =sinαcos (π-α) =-cosαtan (π-α) =-tanαcot (π-α) =-cotαsec (π-α) =-secα CSC (π-α) =cscα angular representation: sin (180°-α) =sinαcos (180°-α) =-cosαtan (180°-α) =-tanαcot (180°-α) =-cotαsec (180°-α) =-secα CSC (180°-α) =cscα Formula five uses Formula One and Formula Three to get the relationship between 2π-α and α 's trigonometric function: The representation of the angle under radians: sin (2π-α) =-sinαcos (2π-α) =cosαtan (2π-α) =-tanα Cot (2π-α) =-cotαsec (2π-α) =SECΑCSC (2π-α) =-cscα angular representation at the angle of the system: Sin (360°-α) =-sinαcos (360°-α) =cosRelationship between Αtan (360°-α) =-tanαcot (360°-α) =-cotαsec (360°-α) =SECΑCSC (360°-α) =-cscα formula six π/2±α and 3π/2±α and the trigonometric function values of α: (⒈~⒋) ⒈π/2+ Relationship between the trigonometric function values of α and α the representation of the angle under radians: sin (π/2+α) =cosαcos (π/2+α) =-sinαtan (π/2+α) =-cotαcot (π/2+α) =-tanαsec (π/2+α) =-CSCΑCSC (Π/2 Kit α) =secα angular representation: sin (90°+α) =cosαcos (90°+α) =-sinαtan (90°+α) =-cotαcot (90°+α) =-tanαsec (90°+α) =-CSCΑCSC (90°+α) = SECΑ[3] The relationship between the trigonometric function values of  ⒉π/2-α and α the representation of the angle under radians: sin (π/2-α) =cosαcos (π/2-α) =sinαtan (π/2-α) =cotαcot (π/2-α) =tanαsec (π/ 2-α) =CSCΑCSC (π/2-α) A representation of the angle under the =secα angle: sin (90°-α) =cosαcos (90°-α) =sinαtan (90°-α) =cotαcot (90°-α) =tanαsec (90°-α) =cscα The relationship between CSC (90°-α) =secα[3]  ⒊3π/2+α and the trigonometric function value of alpha the representation of the angle under radians: sin (3π/2+α) =-cosαcos (3π/2+α) =sinαtan (3π/2+α) =-cotαcot (3π /2+α) =-tanαsec (3π/2+α) =CSCΑCSC (3π/2+α) =-secα angular representation at the angle of the system: Sin (270°+α) =-cosαcos (270°+α) =sinαtan (270°+α) =-cotα Relationship between Cot (270°+α) =-tanαsec (270°+α) =CSCΑCSC (270°+α) =-secα ⒋  3π/2-α and the trigonometric function values of alpha the representation of the angle under Radian system: sin (3π/2-α) =-cosα cos (3π/2-α) =-sinαtan (3π/2-α) =cotαcot (3π/2-α) =tanαsec (3π/2-α) =-CSCΑCSC (3π/2-α) =-secα angular representation: sin (270°-α) =-cosαcos (270°-α) =-sinαtan (270°-α) =cotαcot (270°-α) =tanαsec (270°-α) = -CSCΑCSC (270°-α) =-secα
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