Question

Diberikan tan θ = - 8/15 dengan cos θ > 0 . tentukan:
a.) Sin θ . Cos θ + Cos θ . Sin θ
b.) Csc θ / Cot θ

Answer 1

Verified answer

Jawab:

trigonometri

Penjelasan dengan langkah-langkah:

tan θ = - 8/15 dan cos θ > 0 maka θ dikuadran IV

.

tan θ = -8/15 = -  (y/x)

r² = x² +y²

r² =  64 + 225 = 289

r = √289  = 17

sin θ = -  y/r = -8/17

cos θ = x/r =  15/17

a) sin θ cos θ + cos θ sin θ =

= 2 sin θ cos θ

= 2(-8/17)(15/17)

= - 240 /289

b) csc θ=  (1/sin θ)  =  -17/8

cot θ = 1/ tan θ = - 15/8

csc θ / cot θ =  - 17/8  / ( -15/8)

= -17/8 x - 8/15

= 17/15

Answer 2

semoga dpt membantu..