{"@context":"https://schema.org/","@type":"Quiz","dateCreated":"2025-04-25T08:54:55.494Z","dateModified":"2026-01-15T09:36:32.247Z","typicalAgeRange":"11-18","educationalLevel":"JEECUP","assesses":"Mathematics - Trigonometry","educationalAlignment":[{"@type":"AlignmentObject","alignmentType":"educationalTopic","targetName":"Trigonometry"},{"@type":"AlignmentObject","alignmentType":"educationalSubject","targetName":"Mathematics"},{"@type":"AlignmentObject","alignmentType":"educationalExam","targetName":"JEECUP"}],"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 value of $$\\cos 15^\\circ - \\sin 15^\\circ$$ is equal to}","encodingFormat":"text/markdown","comment":{"@type":"Comment","text":"Use trigonometric identities to simplify expressions involving cosine and sine differences."},"suggestedAnswer":[{"@type":"Answer","position":0,"encodingFormat":"text/markdown","text":"

\$\\frac{1}{\\sqrt{2}}\$

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

\$\\frac{\\sqrt{3}}{2}\$

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

\$\\frac{1}{3}\$

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

\$\\frac{1}{2}\$

","comment":{"@type":"Comment","text":"\"\""}}],"acceptedAnswer":{"@type":"Answer","position":0,"encodingFormat":"text/markdown","text":"

\$\\frac{1}{\\sqrt{2}}\$

","comment":{"@type":"Comment","text":"Use trigonometric identities to simplify expressions involving cosine and sine differences."},"answerExplanation":{"@type":"comment","text":"The expression simplifies to \$\\frac{1}{\\sqrt{2}}\$ using trigonometric identities."}}}]}

The value of \(\cos 15^\circ - \sin 15^\circ\) is equal to

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