di ketahui cos @ =15/17 ,@ di kuadratkan IV ,tentukan nilai nilai perbandingan trigometri yang lain?

Kelas 10 Matematika
Bab Trigonometri

Di Kuadran IV

cos α = 15/17 → x/r

y = √(r² - x²)
y = √(17² - 15²)
y = √(289 - 225)
y = √(64)
y = 8

sin a = -y/r
sin a = -8/17

tan a = -y/x
tan a = -8/15

cosec a = -r/y
cosec a = -17/8

sec a = r/x
sec a = 17/15

cotan a = -x/y
cotan a = -15/8

Depan = d
Miring = m
Samping = s

[tex] \cos \alpha = \frac{s}{m} = \frac{15}{17} \\ \sin \alpha = -\frac{d}{m} = -\frac{8}{17} \\ \tan \alpha = -\frac{d}{s} = -\frac{8}{15} \\ \cot \alpha = -\frac{s}{d} = -\frac{15}{8} \\ \sec \alpha = \frac{m}{s} = \frac{17}{15} \\ \csc \alpha =- \frac{m}{d} = -\frac{17}{8} [/tex]

P.s : di kuadran 4, yang positif hanya cos dan sec, yang lain negatif.