已知:sin^2A/sin^2B+cos^2Acos^2C=1,求证:tan^2Acot^2B=sin^2C

已知sin(a+b)sin(a-b)=-1/3,求cos^2a-cos^2b的值 已知sin(a+b)sin(b-a)=m,试求cos^2a-cos^2b的值 证明 sin^2A+sin^2B-sin^2A*sin^2B+cos^2A*cos^2证明 sin^2A+sin^2B-sin^2A*sin^2B+cos^2A*cos^2B=1 化简sin^2a+sin^2b-sin^2a*sin^2b+cos^2a*cos^2b sin^2a+sin^2b-sin^2a * sin^2b+cos^2a * cos^2b 化简 sin^2 (A)+sin^2(B)-sin^2(A)sin^2(B)+cos^2(A)cos^2(B) 化简cos(a+b)cos(a-b)+sin^2b 已知sin^4a/cos^2b+cos^4a/sin^2b=1,求证:sin^4 b/cos^2 a+cos^4b/sin^2a=1 已知(cos^4a)/cos^2b+(sin^4a)/sin^2b=1求证(cos^4b)/cos^2a+(sin^4b)/sin^2a=1 化简（sin(a-b)-2sin a cos b）/2sin a sin b +coa(a+b) 已知 sin a,sin 2x ,cos a 成等差数列,sin a ,sin x ,cos a 成等比数列,求cos 2x 的值.已知 ,3sin^2 a+2sin^2 b=1 ,3sin 2a-2sin 2b=0 且a ,b 为锐角,试求 a+2b的值. 已知sin[a-b]cos a-cos[b-a]sin a=3/5,b是第三象限角,求sin[b+5π/4]的值第一题1/2cos x-√3/2sin x第二题√3sin x+cos x第三题√2[sin x-cos x]第四题√2cos x-√6sin x 已知sin a+sin b=1/2,cos a+cos b=（根号3）/2,求证：sin(a+TT/3)=1/2 已知cosB = cos θ*sinA,cosC = sinθ*sinA.θ为已知角.则sin^2 A + sin^2 B +sin^2C等于多少? (1/2)已知向量a=(cos阿尔法,sin阿尔法),向量b=(cos贝塔,sin贝塔),其中0 已知tan a=2,求sin a+cos a /cos a -sin a 的值 cos^2a-cos^2b=m,那么sin(a+b)sin(a-b)=? 证明sin(A+B)sin(A-B)=cos^2B-cos^2A