1c:I[1254,["7330","static/chunks/d3ac728e-78c3d5d7a486ed3a.js","5159","static/chunks/5159-48592f0bf1a47f9d.js","8175","static/chunks/8175-f84d59b9bd013e10.js","8167","static/chunks/8167-b25693a0140130f2.js","664","static/chunks/664-bceb0f356f9312eb.js","3703","static/chunks/app/practice-question/%5Bslug%5D/page-d1408559b663b83f.js"],"PracticeQuestionCard"] 1b:T4ad,{"@context":"https://schema.org","@type":"QAPage","name":"If α and β are positive acute angles, sin(4α - β) = 1 and cos(2α + β)…","url":"https://vidyalelo.com/practice-question/if-%CE%B1-and-%CE%B2-are-positive-acute-angles-sin4%CE%B1-%CE%B2-1-and-cos2%CE%B1-%CE%B2-12-then-the-value-of-sin%CE%B1-2%CE%B2-is-93684","keywords":"practice questions, MCQ, MCQs with answers, objective questions, competitive exam questions, Competitive Exams, Competitive Exams MCQ, Competitive Exams MCQs, Competitive Exams questions, Competitive Exams practice questions, Aptitude, Aptitude MCQ, Aptitude MCQs, Aptitude questions, Aptitude practice questions, Trigonometry","mainEntity":{"@type":"Question","name":"If α and β are positive acute angles, sin(4α - β) = 1 and cos(2α + β)…","text":"If α and β are positive acute angles, sin(4α - β) = 1 and cos(2α + β) = 1/2 , then the value of sin(α + 2β) is?","answerCount":1,"acceptedAnswer":{"@type":"Answer","text":"Option D. 1 2. Answer & Solution Answer: Option D Solution: & sin ( 4 - ) = 1 = 90^ & 4 - = 90^ & cos ( 2 + ) = 1/2 = 60^ & 2 + = 60^ & Adding 6 = 150^ & = 25^ & = 10^ & sin ( + 2 ) & sin ( 25^ + 2 × 10^ ) & sin45^ & 1 2"}}}1d:T44a,

Answer & Solution

Answer: Option D

Solution:

$$\eqalign{ & {\text{sin}}\left( {4\alpha - \beta } \right) = 1 = \sin {90^ \circ } \cr & 4\alpha - \beta =