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:T4a5,{"@context":"https://schema.org","@type":"QAPage","name":"If θ be acute angle and tan(4θ - 50°) = cot(50° - θ), then the value…","url":"https://vidyalelo.com/practice-question/if-%CE%B8-be-acute-angle-and-tan4%CE%B8-50-cot50-%CE%B8-then-the-value-of-%CE%B8-in-degrees-is-93557","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 θ be acute angle and tan(4θ - 50°) = cot(50° - θ), then the value…","text":"If θ be acute angle and tan(4θ - 50°) = cot(50° - θ), then the value of θ in degrees is?","answerCount":1,"acceptedAnswer":{"@type":"Answer","text":"Option A. 30°. Answer & Solution Answer: Option A Solution: & We know that & tan ( 90^ - ) = cot & and, cot ( 90^ - ) = tan & tan ( 4 - 50^ ) = cot ( 50^ - ) & [ 90^ - ( 4 - 50^ ) ] = cot ( 50^ - ) & 90^ - ( 4 - 50^ ) = ( 50^ - ) & 90^ - 4 + 50^ = 50^ - & 90^ = 3 & then, = 30^"}}}1d:T4ed,

Answer & Solution

Answer: Option A

Solution:

$$\eqalign{ & {\text{We know that }} \cr & {\text{tan}}\left( {{{90}^ \circ } - \theta } \right) = {\text{cot}}\theta