Question

In ΔABC, m∠C=90 and m∠A=m∠B,Will the other trigonometric ratios of ∠A and ∠B be equal?

Answer 1

yes, because the side AB and BC will be equal by property of triangle and therefore all the trigonometric ratios of these two angles will always be equal.

e.g., m∠A=m∠B so, AB is hypotenuse
therefore, AC = BC
then, sinA = BC/AB
cosA = AC/AB
because , AC = BC
so, AC/AB = BC/AB
and hence, sinA = sinB
similarly we can see in all trigonometric identities. e.g., cosA = cosB , tanA = tanB, secA = secB and cosecA = cosecB