Question

In triangle ABC angle B=90 degree, angle C=X degree, angle A=Y degree.What is X+Y ? Prove that "sin X=sin Y".If sin X=cosX,then find the value of X.

Answer 1

Angle A + Angle B + Angle C = 180 [ Triangle ]
Angle B = 90
then
X+Y=90
Sin 45 = 1÷√2
Cos 45 = 1÷√2
Sin 45 = Cos 45
then
Sin 45 = Sin 45
Hence proof that
X=45 ,Y=45