Bytelearn - cat image with glassesAI tutor

Welcome to Bytelearn!

Let’s check out your problem:

Import favorites
MVNU Students Ho...
A
ALEKS - Jameson 
C dots
Trigonometric Identities and Equations
Finding solutions in an interval for a trigonometric equation involving an...

0//5
Jameson
Español
Find all solutions of the equation in the interval 
[0,2pi).

tan ((x)/(2))+sqrt3=0
Write your answer in radians in terms of 
pi. If there is more than one solution, separate them with commas.

x=

◻

piquad◻,◻,dots
Aa
Explanation
Check
(C) 2024 McGraw Hill LLC. All Rights Reserved.
Terms of Use
Privacy Center
Accessibility
Type here to search

Import favorites\newlineMVNU Students Ho...\newlineA\newlineALEKS - Jameson C C \ldots \newlineTrigonometric Identities and Equations\newlineFinding solutions in an interval for a trigonometric equation involving an...\newline0/5 0 / 5 \newlineJameson\newlineEspañol\newlineFind all solutions of the equation in the interval [0,2π) [0,2 \pi) .\newlinetanx2+3=0 \tan \frac{x}{2}+\sqrt{3}=0 \newlineWrite your answer in radians in terms of π \pi . If there is more than one solution, separate them with commas.\newlinex= x= \newline \square \newlineπ,, \pi \quad \square, \square, \ldots \newlineAa\newlineExplanation\newlineCheck\newline(C) 20242024 McGraw Hill LLC. All Rights Reserved.\newlineTerms of Use\newlinePrivacy Center\newlineAccessibility\newlineType here to search

Full solution

Q. Import favorites\newlineMVNU Students Ho...\newlineA\newlineALEKS - Jameson C C \ldots \newlineTrigonometric Identities and Equations\newlineFinding solutions in an interval for a trigonometric equation involving an...\newline0/5 0 / 5 \newlineJameson\newlineEspañol\newlineFind all solutions of the equation in the interval [0,2π) [0,2 \pi) .\newlinetanx2+3=0 \tan \frac{x}{2}+\sqrt{3}=0 \newlineWrite your answer in radians in terms of π \pi . If there is more than one solution, separate them with commas.\newlinex= x= \newline \square \newlineπ,, \pi \quad \square, \square, \ldots \newlineAa\newlineExplanation\newlineCheck\newline(C) 20242024 McGraw Hill LLC. All Rights Reserved.\newlineTerms of Use\newlinePrivacy Center\newlineAccessibility\newlineType here to search
  1. Isolate tan(x2)\tan(\frac{x}{2}): First, we need to isolate tan(x2)\tan(\frac{x}{2}) by subtracting 3\sqrt{3} from both sides.\newlinetan(x2)+33=03\tan(\frac{x}{2}) + \sqrt{3} - \sqrt{3} = 0 - \sqrt{3}
  2. Find angle in unit circle: Now we have tan(x2)=3\tan(\frac{x}{2}) = -\sqrt{3}, which corresponds to an angle of 5π6\frac{5\pi}{6} or 2π3\frac{2\pi}{3} in the unit circle for the tangent function.

More problems from One-step inequalities: word problems