Buktikan setiap identitas trigonometri dari

1.) cos² alfa (1 + tan² alfa ) = 1
2.) sin² alfa (1 + cot² alfa ) = 1

Buktikan setiap identitas trigonometri dari

Jawaban Terkonfirmasi

Persamaan yang perlu diingat :

1 + tan²x = sec²x

1 + cot²x = csc²x

Gambar Jawaban

$cos^2{alpha}(1+tan^2{alpha}) = 1 \ cos^2{alpha}(1+frac{sin^2{alpha}}{cos^2{alpha}}) = 1 \ cos^2{alpha} + sin^2{alpha} = 1$

$sin^2{alpha}(1+cot^2{alpha}) = 1 \ sin^2{alpha}(1+frac{cos^2{alpha}}{sin^2{alpha}}) = 1 \ sin^2{alpha} + cos^2{alpha} = 1$