If `tan A=cot B` ,then prove that `A+B=90^(@)`

If t a n A=cot B , prove that A+B=90^@

If tan A= cot B. prove that : A+B =90^(@)

If sin2A+sin2B=sin2C , prove that A=90^(@)" or " B=90^(@) .

If tan A+tan B=a and cot A+cot B=b , prove that: cot(A+B)=1/a-1/b

If in DeltaABC, (tan A - tan B)/(tan A + tan B) = (c-b)/c , prove that : A = 60^0 .

If tan - A tan B = x, cot B - cot A = y prove that cot (A - B) = (1)/(x) + (1)/(y)

In triangle ABC , prove that tan (B-C)/2 =[( b-c) /(b+c )] cot A/2 , tan (C-A)/2 = [(c-a)/(c+a)]cot B/2 , tan (A-B)/2 = [(a-b)/(a+b)]cot c/2

In DeltaABC , if /_C = 90^0 , then prove that tan (A/2) = sqrt((c-b)/(c+b)) = a/(b+c)

In any DeltaABC , prove that (i) tan""(B-C)/2=(b-c)/(b+c)cot""A/2 . (ii) If angleB=90^(@) , prove that tan(A/2)=sqrt(((b-c)/(b+c))) . (iii) If angleC=90^(@) , prove that tan((A−B)/2)/tan((A+B)/2)=(a-b)/(a+b) .

If cosec A + sec A = cosec B + sec B , prove that tan A tan B = cot( A+ B)/ 2