evanwall91 evanwall91
  • 02-02-2019
  • Mathematics
contestada

Solve 2 - 3 cos x = 5 + 3 cos x for 0° ≤ x ≤ 180°

a. 150°
b. 30°
c. 60°
d. 120°

Respuesta :

eudora eudora
  • 02-02-2019

Answer:

The correct answer is Option d : 120°

Step-by-step explanation:

First we bring all the cos x terms to one side

2 = 5 + 6 cos x

Now we bring all the numerals to one side

-3 = 6 cos x

-[tex]\frac{1}{2}[/tex] = cos x

∵ cos 60° = [tex]\frac{1}{2}[/tex] ∴ cos x = cos 60°

x = 60°

Now just flip over for the negative to get 180-60 = 120

∴ The answer is 120°.

Answer Link

Otras preguntas

The college has 700 students, and has issued student 388 parking permits. What is the percentage of students with parking permits?
where are divergent volcanoes found
Which of the following is 2/11 closest to? 0. 1/2. 1.
Los yacares sintieron una gran al despertarse y al escuchar un ruido
If 4x+y= x solve for x.
compare partial products and regrouping
True or false the greater the mass the greater the gravitational pull
Working long days without rest tends to some people
North Vietnam supported and financed the Communist group, during the Vietnam War.?
Bob earns $9 an hour babysitting. One night he earned $47.25 for babysitting. How many hours did he babysit that night?