{"@context":"https://schema.org/","@type":"Quiz","dateCreated":"2024-06-25T11:34:01.504Z","dateModified":"2024-07-20T17:03:38.981Z","typicalAgeRange":"11-18","educationalLevel":"NATA","assesses":"Mathematics - Trigonometry","educationalAlignment":[{"@type":"AlignmentObject","alignmentType":"educationalTopic","targetName":"Trigonometry"},{"@type":"AlignmentObject","alignmentType":"educationalSubject","targetName":"Mathematics"},{"@type":"AlignmentObject","alignmentType":"educationalExam","targetName":"NATA"}],"name":"Quiz about Trigonometry","about":{"@type":"Thing","name":"Mathematics - Trigonometry"},"hasPart":[{"@type":"Question","eduQuestionType":"Multiple choice","learningResourceType":"Practice problem","educationalLevel":"intermediate","name":"Question About Trigonometry","text":"The sum of the values of x satisfying \\(\\tan(\\frac{\\pi}{4}+x)+\\tan(\\frac{\\pi}{4}-x)=2\\) in the interval \\([0,2\\pi]\\) is:","encodingFormat":"text/markdown","comment":{"@type":"Comment","text":"\"\""},"suggestedAnswer":[{"@type":"Answer","position":0,"encodingFormat":"text/markdown","text":"

6π

","comment":{"@type":"Comment","text":"\"\""}},{"@type":"Answer","position":1,"encodingFormat":"text/markdown","text":"

7π

","comment":{"@type":"Comment","text":"\"\""}},{"@type":"Answer","position":2,"encodingFormat":"text/markdown","text":"

4π

","comment":{"@type":"Comment","text":"\"\""}},{"@type":"Answer","position":3,"encodingFormat":"text/markdown","text":"

3π

","comment":{"@type":"Comment","text":"\"\""}}],"acceptedAnswer":{"@type":"Answer","position":3,"encodingFormat":"text/markdown","text":"

3π

","answerExplanation":{"@type":"text","text":"The correct option is (D): 3π"},"comment":{"@type":"Comment","text":"\"\""}}}]}

The sum of the values of x satisfying \(\tan(\frac{\pi}{4}+x)+\tan(\frac{\pi}{4}-x)=2\) in the interval \([0,2\pi]\) is:

The Correct Option is D

Solution and Explanation

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