Answer:
The correct option is the option with:
cos Θ = 1/2
tan Θ = -√3
Step-by-step explanation:
Given that
sin Θ = -√3/2
We want to find the values of
cos Θ and tan Θ
First of all,
arcsin (-60) = -√3/2
=> Θ = 60
tan Θ = (sin Θ)/(cos Θ)
tan Θ = (-√3/2)/(cos Θ)
cos Θ tan Θ = (1/2)(-√3)
Knowing that Θ = -60,
and cos Θ = cos(-Θ), comparing the last equation, we have
cos Θ = 1/2
tan Θ = -√3
Answer:
x = 
Step-by-step explanation:
Given
- 24x - 15 = - 27 ( add 15 to both sides )
- 24x = - 12 ( divide both sides by - 24 )
x = 
=
Answer:
Step-by-step explanation:
x² + 2x = 6
Subtract both sides by 6.
x² + 2x - 6 = 0
ax²+bx+c=0
a=1, b=2, and c=-6
We can apply the quadratic formula.
Plug in the values.
Evaluate.
The number halfway between 200 and 300 is 250
Answer:
21:27 and 14:18
Step-by-step explanation:
We can solve this by using common factors
one of the common factors of 54 and 42 is 3
42/3=14
54/3=18
so one of the ratios is 14:18
another common factor is 2
42/2=21
54/2=27
so another ratio is 21:27
