sushmitaangel7
sushmitaangel7 sushmitaangel7
  • 25-11-2019
  • Mathematics
contestada

2 sin^2 theta + 3 cos theta = 3​

Respuesta :

MathPhys
MathPhys MathPhys
  • 25-11-2019

Answer:

θ = ±π/3 + 2kπ

θ = 0 + 2kπ

Step-by-step explanation:

2 sin² θ + 3 cos θ = 3

Use Pythagorean identity:

2 (1 − cos² θ) + 3 cos θ = 3

2 − 2 cos² θ + 3 cos θ = 3

0 = 2 cos² θ − 3 cos θ + 1

Factor:

0 = (2 cos θ − 1) (cos θ − 1)

cos θ = 1/2

θ = ±π/3 + 2kπ

cos θ = 1

θ = 0 + 2kπ

Answer Link

Otras preguntas

Dependent clause and independent clause
Pendente lite refers to the jurisdiction acquired by a court over property involved in an action until a final judgment is entered. a. True b. False
People of all ages were impacted by the expansion and availability of the internet in 1990s. this is an example of what kind of effect? a.aging effect b.moderni
Because john's mother suffers from depression and his father is an alcoholic, john is often neglected. despite his circumstances, he maintains a positive outloo
By 1862 what was the paramount struggle in the civil war according to lincoln?
How did the muslim view of jesus differ from the christian view of jesus? whap?
Y=5x +4, y= -3x-12 solve each system using the substitution method. when asked, solve the system by graphing in addition to using the substitution method.
When two or more refrigerants are mixed, what must be done with the mixture?
The phrase "uncontrollable outlays" refers to the fact that
What strategy to use?