In a right triangle ABC with angle A equal to 90o, find angle B and C so that sin(B) = cos(B). ?

1 Answer
Jun 2, 2018

B and C measures 90^@

Explanation:

Let,
b be the length of the side opposite of the angle B
c the length of the side opposite of the angle C
h the length of the hypotenuse.

sin(B) = b/h and cos(B) =c/h

sin(B) = cos(B) means b/h=c/h

By cross multiplication,

b=c

This gives that the triangle is isosceles so,

B and C angle is equal to 45 ^@