作者：selina stinson 9 年以前
336
The Map of Trigonometric Functions
This text provides a detailed overview of various trigonometric functions and their properties. It covers the sum and product identities for sine and cosine functions, such as the sum of cosines and sines and their corresponding product identities.
開啟
The Map of Trigonometric Functions Main topic Subtopic Sum and Product Properties sin x-sin y=2cos 1/2(x+y)sin 1/2(x-y) sin x+sin y=2sin 1/2(x+y)cos 1/2(x-y) cos x-cos y=-2sin 1/2(x+y)sin 1/2(x-y) cos x+cos y=2cos 1/2(x+y)cos 1/2(x-y) 2cosAsinB=sin(A+B)-sin(A-B) 2sinAcosB=sin(A+B)+sin(A-B) 2sinAsinB=-cos(A+B)+cos(A-B) 2cosAcosB=cos(A+B)+cos(A-B) cot x cos x/sin x or csc x/sec x 1/tan x sec x 1/cos x csc x 1/sin x Double Argument Properties cos2x=1/2(1+cos2x) sin2x=1/2(1-cos2x) tan2x= (2 tan x)/(1-tan2x) cos 2x=cos2x-sin2x or 1-2sin2x or 2 cos2x-1 sin 2x=2sin x cos x Composite Arguement Properties tan(A+B)=(tanA+tanB)/(1-tanAtanB) tan(A-B)=(tanA-tanB)/(1+tanAtanB) sin(A+B)=sinAcosB+cosAsinB sin(A+B)=sinAcosB-cosAsinB cos(a+B)=cosAcosB-sinAsinB cos(A-B)=cosAcosB+sinAsinB tan x sin x/cos x or sec x/csc x cos x even sin x odd Pythagorean Properties cot2x+1=csc2x 1+tan2x=sec2x cos2 x +sin2 x=1
