Question

if ABC is a right angled triangle at B , if sin(A) = 3/5 , then sin(B+C)

Answer 1

[AI-generated answer — Bot GPT 3.5]

In a right-angled triangle, one of the angles is 90 degrees. Let's call the other two angles A and C.

Since ABC is a right-angled triangle at B, angle B is 90 degrees.
Therefore, angle A + angle C = 180 degrees - angle B = 180 degrees - 90 degrees = 90 degrees.

Since the sum of angle A and angle C is 90 degrees, sin(A+C) = sin(90 degrees).
The sine of 90 degrees is always equal to 1.
Therefore, sin(B+C) = sin(90 degrees) = 1.