If `a sin^(2)x+b cos^(2)x=c, b sin^(2)y+a cos^(2)y=d` and `atan x=btany` then the value of `((d-a)(c-a))/((b-c)(b-d))=`

If asin^2x+bcos^2x=c,bsin^2y+acos^2y=d,and atanx=btany , then prove that a^2/b^2=((d-a)(c-a))/((b-c)(b-d)) .

If a sin^(2)x+b cos^(2)x=c,b sin^(2)y+a cos^(2)y=d and a tan x=b tan y then (a^(2))/(b^(2))=......*(0

Suppose that for some angles x and y the equations sin^(2)x+cos^(2)y=(3a)/(2) , cos^(2)x+sin^(2)y=(a^(2))/(2) hold simultaneously then the value of cos2x-cos2y equals (A) a (B) 2-a (C) 3a-2 (D) 2a-3

cos x+cos^(2)x+cos^(3)x=1 and a sin^(6)x+b sin^(4)x+c sin^(2)x+d=0 and a>0 then a+b+c+d=

If sin A+sin^(2)A=1, then the value of cos^(2)A+cos^(4)A is 2(b)1(c)-2(d)0

If sin a+7sin b=4(sin c+2sin d) and cos a+7cos b=4(cos c+2cos d) ,where a,b,c,d in[0,pi], then the value of (cos(a-d))/(cos(b-c)) is (A) (7)/(2) (B) (2)/(7) (C) (7)/(4) (D) (4)/(7)

Let 0<=a,b,c,d<=pi, where b and c are not complementary,such that 2cos a+6cos b+7cos c+9cos d=0 and 2sin a-6sin b+7sin c-9sin d=0, then 2sin a-6sin b+7sin c-9sin d=0, then the value of 3(cos(a+d))/(cos(b+c)) is

if sin A+sin B=C and cos A+cos B=D and C,D!=0 then the value of sin(A+B) is equal to

Let 0<=a,b,c,d<=pi where b and c are not complementary such that 2cos a+6cos b+7cos c+9cos d=0 and 2sin a-6sin b+7sin c-9sin d=0 Then 2sin a-6sin b+7sin c-9sin d=0 Then the value of (cos(a+d))/(cos(b+c)) is