cotan²x / cosec²x = a. cos²x b. cosec x - sin x c. cos x + cotan x d. cos c - cosec x e. cosec x

Question

Matematika Diposting : 2017-05-20 Diupdate : 2021-10-01 SMelani30

Pertanyaan

cotan²x / cosec²x =
a. cos²x
b. cosec x - sin x
c. cos x + cotan x
d. cos c - cosec x
e. cosec x

Answer 1

cotan^2x/cosec^2x
=cos^2x/sin^2x / 1/sin^2x
=cos^2x/sin^2x x sin^2x/1
=cos^2x

Answer 2

cot^2 x = cos^2 x / sin^2 x
cosec^2 x = 1/sin^2 x
cot^2 x / cosec^2 x = (cos^2 x / sin^2 x) / (1/sin^2 x)
= (cos^2 x / sin^2 x) sin^2 x
= a. cos^2 x