If minimum value of sin -1x 2
Web7 okt. 2016 · Even simpler: I would consider z = 2sin2x, thus 1 ⩽ z ⩽ 2 and we want to minimize z + 2 / z on [1, 2] Derivative 1 − 2 / z2, thus the function decreases on z < √2 … 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) …
If minimum value of sin -1x 2
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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) = 0 sin ( x + π / 4) = ± 1. After that, it should be fairly easy to find the minimum. Web6 aug. 2024 · Welcome 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 …
Web10 apr. 2024 · What is the minimum value of sin 4 θ + cos 4 θ - 2sin 2 θ cos 2 θ? This question was previously asked in. CDS 01/2024: Maths Previous Paper ... ∴ The minimum value of cos 2 2θ is 0. Download Solution PDF. Share on Whatsapp Latest CDS Updates. Last updated on Apr 6, 2024 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.
WebSo, the maximum or minimum value will be occurred when sin x has maximum or minimum value. For x=90 degree or (pi/2), sin x hold the maximum value 1. [sin 90 = 1 (in … Web30 mrt. 2024 · Ex 6.5, 2 (iii) - Chapter 6 Class 12 Application of Derivatives (Term 1) Last updated at March 30, 2024 by Teachoo. Get live Maths 1-on-1 Classs - Class 6 to 12. Book 30 minute class for ₹ 499 ₹ 299. Transcript. Show More. Next: Ex 6.5, 2 …
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WebCompute the minimum value of the given expression. An expression 2 sin x + 2 cos x is given. We know that the Arithmetic mean is greater than the geometric mean. Therefore, … is chris page marriedWeb19 nov. 2024 · If x is a real quantity, what is the minimum value of (25 cos2 x + 9 sec2 x)? Q7. What is the maximum value of 1 + 2sin2θ cos2θ - sin4θ - cos4θ where 0° < θ < 90° ? is chris parnell marriedWebTo find the local maximum and minimum values of the function, set the derivative equal to 0 0 and solve. 3cos(3x) = 0 3 cos ( 3 x) = 0. Divide each term in 3cos(3x) = 0 3 cos ( 3 x) = 0 by 3 3 and simplify. Tap for more steps... cos(3x) = 0 cos ( 3 x) = 0. Take the inverse cosine of both sides of the equation to extract x x from inside the cosine. is chris paul bronny\u0027s godfatherWeb6 aug. 2024 · Welcome to Sarthaks eConnect: A unique platform where students can interact with teachers/experts/students to get solutions to their queries. Students (upto … is chris paul a hall of famerWebWelcome 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 … ruthy\\u0027s outletWebFind the second derivative of the function. Tap for more steps... f ''(x) = −4sin(2x) f ′′ ( x) = - 4 sin ( 2 x) To find the local maximum and minimum values of the function, set the … ruthy19701 gmail.comWebFind the second derivative of the function. Tap for more steps... f ''(x) = −9sin(3x) f ′′ ( x) = - 9 sin ( 3 x) To find the local maximum and minimum values of the function, set the … is chris paul a vegan