The equation $cos θ = \frac{1}{2}$ $costheta=1/2$ from $0 \leq θ < 2 π$ $0<=theta<2pi$ has solutions $\frac{π}{3}$ $pi/3$ and $\frac{5 π}{3}$ $(5pi)/3$ . What is the general solution corresponding to $\frac{5 π}{3}$ $(5pi)/3$ ?

Question

The equation $cos θ = \frac{1}{2}$ $costheta=1/2$ from $0 \leq θ < 2 π$ $0<=theta<2pi$ has solutions $\frac{π}{3}$ $pi/3$ and $\frac{5 π}{3}$ $(5pi)/3$ . What is the general solution corresponding to $\frac{5 π}{3}$ $(5pi)/3$ ?

1 Answer

Related questions

How do you find all solutions trigonometric equations?
How do you express trigonometric expressions in simplest form?
How do you solve trigonometric equations by factoring?
How do you solve trigonometric equations by the quadratic formula?
How do you use the fundamental identities to solve trigonometric equations?
What are other methods for solving equations that can be adapted to solving trigonometric equations?
How do you solve ${sin}^{2} x - 2 sin x - 3 = 0$ $\sin^2 x - 2 \sin x - 3 = 0$ over the interval $[0, 2 π]$ $[0,2pi]$ ?
How do you find all the solutions for $2 {sin}^{2} \frac{x}{4} - 3 cos \frac{x}{4} = 0$ $2 \sin^2 \frac{x}{4}-3 \cos \frac{x}{4} = 0$ over the...
How do you solve ${cos}^{2} x = \frac{1}{16}$ $\cos^2 x = \frac{1}{16}$ over the interval $[0, 2 π]$ $[0,2pi]$ ?
How do you solve for x in $3 sin 2 x = cos 2 x$ $3sin2x=cos2x$ for the interval $0 ≤ x < 2π$

Impact of this question

3351 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2017-12-17T21:32:28

The cosine function has period $2 π$ $2pi$ , therefore the general solution will be $θ = \frac{5 π}{3} + 2 π n$ $theta = (5pi)/3 + 2pin$ , where $n$ $n$ is an integer.

Hopefully this helps!

Science

Math

Humanities

... and beyond

The equation $cos θ = \frac{1}{2}$ $costheta=1/2$ from $0 \leq θ < 2 π$ $0<=theta<2pi$ has solutions $\frac{π}{3}$ $pi/3$ and $\frac{5 π}{3}$ $(5pi)/3$ . What is the general solution corresponding to $\frac{5 π}{3}$ $(5pi)/3$ ?

1 Answer

Related questions

Impact of this question

Science

Math

Humanities

... and beyond

The equation costheta=1/2cosθ=12costheta=1/2 from 0<=theta<2pi0≤θ<2π0<=theta<2pi has solutions pi/3π3pi/3 and (5pi)/35π3(5pi)/3. What is the general solution corresponding to (5pi)/35π3(5pi)/3?

1 Answer

Related questions

Impact of this question

The equation $cos θ = \frac{1}{2}$ $costheta=1/2$ from $0 \leq θ < 2 π$ $0<=theta<2pi$ has solutions $\frac{π}{3}$ $pi/3$ and $\frac{5 π}{3}$ $(5pi)/3$ . What is the general solution corresponding to $\frac{5 π}{3}$ $(5pi)/3$ ?