WebWe know that the minimum value of a cos x + b sin x type expressions is given by - a 2 + b 2. Therefore, 2 sin x + 2 cos x ≥ 2 · 2 - 2 1 2 ⇒ 2 sin x + 2 cos x ≥ 2 · 2 - 1 2 ⇒ 2 sin x + 2 cos x ≥ 2 1 - 1 2. So, the minimum value of the given expression is 2 1 - 1 2. Hence, option A is the correct answer. Suggest Corrections. WebWelcome to Sarthaks eConnect: A unique platform where students can interact with teachers/experts/students to get solutions to their queries. Students (upto class 10+2) preparing for All Government Exams, CBSE Board Exam, ICSE Board Exam, State Board Exam, JEE (Mains+Advance) and NEET can ask questions from any subject and get …

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WebThe range of the sine function is [ − 1, 1]. Assuming that k is a constant, then the minimum of sin ( x + π / 4) + k is k − 1. No derivatives necessary. As suggested by @XanderHenderson, this is best solved graphically. Using your method, cos ( x + π / 4) … Web25 sep. 2015 · Stack Exchange network consists of 181 Q&A communities including Stack Overflow, the largest, most trusted online community for developers to learn, share their … dlt therapy

The minimum value of 2^sinx + 2^cosx is - BYJU

WebThe range of the sine function is [ − 1, 1]. Assuming that k is a constant, then the minimum of sin ( x + π / 4) + k is k − 1. No derivatives necessary. As suggested by @XanderHenderson, this is best solved graphically. Using your method, cos ( x + π / 4) = 0 sin ( x + π / 4) = ± 1. After that, it should be fairly easy to find the minimum. Web1answer. If 0 < x < π/2, then the minimum value of (sinx + cosx + cosec2x)^3 is. askedNov 9, 2024in Algebraby Shrinivas(56.4kpoints) sequences and series. class-11. 0votes. … Web3 feb. 2024 · Insert the value of x that you just calculated into the function to find the corresponding value of f (x). This will be the minimum or maximum of the function. For the first example above, f ( x) = x 2 + 10 x − 1 {\displaystyle f (x)=x^ {2}+10x-1} , you calculated the x-value for the vertex to be. dlt toxicity