If tan A `=cot B ` where A and B are acute angles prove that `A+B= 90 ^(@) `

If sin A =cos B , then prove that A+B =90 ^(@)

If tan 2A =cot (A-18^(@) ) where 2A is an acute angle , Find the value of A .

If angle A and angle P are acute angles such that sin A =sin P then prove that angle A =angle P

If tan A = (1-cos B)//sinB , then tan 2A = tan B.

If hat a and hat b are unit vectors inclined at an angle θ then prove that : tan (θ/2) =|hat a + hat b|/ |hat a − hatb|

In a triangle tan A+ tan B + tan C=6 and tan A tan B= 2, then the values of tan A, tan B and tan C are

If angle C of triangle ABC is 90^0, then prove that tanA+tanB=(c^2)/(a b) (where, a , b , c , are sides opposite to angles A , B , C , respectively).

If sin (A-B) =(1)/(2) ,cos (A+B) =(1)/(2) , where 0^(@) angle A +B le 90 ^(@) and A gt B find A and B

If A , B and C are interior angles of a triangle ABC, then show that tan ((A+B) /(2)) =cot ©/(2)

If x , ya n dz are the distances of incenter from the vertices of the triangle A B C , respectively, then prove that (a b c)/(x y z)=cot(A/2)cot(B/2)cot(C/2)