In `Delta A B C ,/_C=90^@`. If `sinB=(m^2-n^2)/(m^2+n^2),` SHow that `secB + tanB = m/n.`

In Delta ABC,/_C=90^(@). If sin B=(m^(2)-n^(2))/(m^(2)+n^(2)) SHow that sec B+tan B=(m)/(n)

Answer any Two questions : In triangle ABC angle C = 90^@ , If BC = m and AC = n then prove that m sin A+ n sin B = sqrt(m^2+ n^2)

The sides of a triangel are such that a/(1+m^2+n^2)=b/(m^2+n^2)=c/((1-m^2)(1+n^2)) , prove that A=2tan^-1 m/n, B=2tan^-1 (mn) and /_\ = (mnbc)/(m^2+n^2)

If m sin B= n sin (2A+B) then show that (m+n)tanA=(m-n)tan(A+B)

If .^(m+n)P_(2)=90 and .^(m-n)P_(2)=30 , find the value of m and n .

If m=.^(n)C_(2) show that , .^(m)C_(2)=3.^(n+1)C_(4)

In a triangle A B C , N is a point on A C such that B N_|_A C . If B N^2=A N N C , prove that /_B=90o .

In triangle ABC given 9a ^(2) + 9b ^(2) - 17 c ^(2) =0. If (cot A + cot B)/(cot C) =m/n, then the value of (m+n) equals

If .^(m+n)P_(2)=90 and .^(m-n)P_(2)=30 , find the value of m and n is equal to.

If (cosA)/(cosB)=n and (sinA)/(sinB)=m,then (m^(2)-n^(2))sin^(2)B=