Question

Diketahui segitiga ABC siku-siku di B. jika sin(A+B) = m, maka sin A + cos B =...

Answer 1

sin (A+B) = sinA.cosB + sinB.cosA <= sin(A+B) = M

m = sinA.cosB + sinB.cosA <= sudut B 90 derajat

m = sinA.cos90 + sin90.cosA <= cos 90 = 0 , sin 90 = 1

m = cosA

cosA = m/1 <= datar = m , miring = 1

tegak = √(1²-m²)

sinA = √(1²-m²) / 1 = √(1²-m²)

sin A + cos B = √(1²-m²) - 0

                      = √(1²-m²)