Question

Tlng bntu dgn crnya yaa
jika sin x =3 cos x dn x terltak di kuadrat lll mka nilai sin x cos x adlh

Answer 1

Sin x = 3cos x
sin x/cos x = 3
Dan,
tan x = 3

Untuk kuadran III.
Maka,
tan x = y/x
Didapat:
y = -3 (Negatif)
x = -1 (Negatif)
r = √10 [Phytagoras]

Maka,
sin x cos x
= y/r . x/r
= xy/r²
= (-1)(-3)/(√10²)
= 3/10