If `(s in^4theta)/a+(cos^4theta)/b=1/(a+b)` , prove that `(s in^8theta)/(a^3)+(cos^4theta)/(b^3)=1/((a+b)^3)` `(s in^(4n)theta)/(a^(2n-1))+(cos^(4n)theta)/(b^(2n-1))=1/((a+b)^(2n-1)),n in N`

If (sin^4theta)/a+(cos^4theta)/b=1/(a+b) , prove that (sin^8theta)/(a^3)+(cos^4theta)/(b^3)=1/((a+b)^3) (sin^(4n)theta)/(a^(2n-1))+(cos^(4n)theta)/(b^(2n-1))=1/((a+b)^(2n-1)),n in N

If (sin^(4)theta)/(a)+(cos^(4)theta)/(b)=(1)/(a+b), prove that (sin^(8)theta)/(a^(3))+(cos^(4)theta)/(b^(3))=(1)/((a+b)^(3))(sin^(4n)theta)/(a^(2n-1))+(cos^(4n)theta)/(b^(2n-1))=(1)/((a+b)^(2n-1)),n in N

If (sin^4 theta)/a+ (cos^4 theta)/b= 1/(a+b) , prove that (sin^(4n) theta)/a^(2n-1)+ (cos^(4n) theta)/b^(2n-1)= 1/(a+b)^(2n-1), n in N .

If (sin^(4)theta)/(a)+(cos^(4)theta)/(b)=(1)/(a+b), then (sin^(8)theta)/(a^(3))+(cos^(8)theta)/(b^(3))=

If (sin^(4)theta)/(a)+(cos^(4)theta)/(b)=(1)/(a_+b) then (sin^(8)theta)/(a^(3))+(cos^(8)theta)/(b^(3))=

sum_(n=1)^ootan(theta/(2^n))/(2^(n-1)cos(theta/(2^(n-1))))

sum_(n=1)^ootan(theta/(2^n))/(2^(n-1)cos(theta/(2^(n-1)))) is

Prove that cos theta cos 2 theta cos 4 theta…. Cos 2 ^(n-1) theta = ( sin ( 2 ^(n) theta))/( 2 ^(n) (sin theta)) .

Using induction,prove that cos theta cos2 theta cos2^(2)theta...cos2^(n-1)theta=(sin2^(n)theta)/(2^(n)sin theta)

Prove that sin^(2)theta+sin^(2)2 theta+sin^(2)3 theta+....+sin^(2)n theta=(n)/(2)-(sin n theta cos(n+1)theta)/(2sin theta)