f(x)=1/2sin^2x[1/tan(x/2)-tan(x/2)]+根号3/2cos2x1）若0

f(x)=sin(2x+π/3)当tan(x+π/4)=1/3时,求f(x) (1+tan(x))/sin(2x)不定积分 求证：tan x/2=sin x/(1+cos x) 求证：1-sin(x)=cos(x)*tan(x/2) 2ln|sec X+tan X|=ln|(1+sin x)/(sin x-1)|怎么证 求证：(sin x+cos x)(1-tan x)=(2sin x)/(tan2x) f(x)=1/2sin^2x[1/tan(x/2)-tan(x/2)]+根号3/2cos2x1）若0 求证:(sin 2x /(1-cos 2x) )·(sin x /(1+sin x))=tan (π/4-x/2). f(x)=sin(x加x/6)-tanα乘cosx 且f(x/3)=1/2 求tanα的值.已知f(x)=sin(x加x/6)-tanα乘cosx 且f(x/3)=1/2 求tanα的值. 设f(sin^2x)等于cos2x+tan^2x,当0＜x＜1时,求f(x) 化简(sin^2 x/sin x-cosx)-(sin x+cosx/tan^2 x-1) 已知k=[2(sin x)^2+sin 2x]/(1+tan x),pai/4 tanα=1/3 tanβ=（√5）/5求f(x)=（√2）sin(x-α)+cos(x+β）的最大值 求证；1-2sin Xcos X/cos2 X-sin2 X=1-tan X/1+tan X 证明tan^θ-sin^2θ=tan^2θsin^2θ证明（1）tan^θ-sin^2θ=tan^2θsin^2θ（2）sin^4x+cos^4x=1-2sin^2cos^2x（31-tan^2x/1+tan^2x=cos^2x-sin^2x 求证：1-2sinxcosx/cos方x-sin方x=1-tan/+tan 已知函数f(x)=sin(α+β)=1/2,sin(α-β)=1/3,求tanα:tanβ 设函数f(x)=sin平方x-cos2x,求f(x)的最大值及最小正周期,若tan@=1/2,求f(@)