Matematika

Pertanyaan

Diketahui A + B = 45° ; A - B = 30°. Nilai (SinA + cosA)(sinB + cosB) =

1 Jawaban

  • TriGonoMetRi

    (sin A + cos A)(sin B + cos B)
    = (sin A sin B + cos A cos B) + (sin A cos B + cos A sin B)
    = cos (A - B) + sin (A + B)
    = cos 30° + sin 45°
    = 1/2 √3 + 1/2 √2
    = 1/2 (√3 + √2) ✔

Pertanyaan Lainnya