# Step-by-step Solution

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## Step-by-step explanation

Problem to solve:

$2cosθ+\frac{1}{3}=\cosθ$

Learn how to solve trigonometric equations problems step by step online.

$2\cos\left(θ\right)+\frac{1}{3}-\cos\left(θ\right)=0$

Learn how to solve trigonometric equations problems step by step online. Solve the trigonometric equation 2cos(θ)+1/3=cos(θ). Grouping terms. Adding 2\cos\left(θ\right) and -1\cos\left(θ\right). Subtract \frac{1}{3} from both sides of the equation. Apply the formula: a=b, where a=\cos\left(θ\right) and b=-\frac{1}{3}.

$θ=1.5766$

### Problem Analysis

$2cosθ+\frac{1}{3}=\cosθ$

### Main topic:

Trigonometric Equations

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