Minimum value of sec theta
WebWhat is the maximum value of sec theta? y = sec x is equivalent y = 1/cos x. The value of cos x varies between -1 and 1 but includes 0 when x = +/- 90 and +/- 270 etc where sec … WebAnd, the minimum value of sin θ sin θ and cos θ, such that 0 ≤ θ ≤ 2π, is -1 If the value of q is increased or decreased by an integral multiple of 2π, then the values of sine q and cos q do not change. ⇒ -1 ≤ sin θ ≤ 1 and -1 ≤ cos θ ≤ 1, for all θ ∈ R.
Minimum value of sec theta
Did you know?
WebIf a > b > 0, then the minimum value of a sec θ ... Was this answer helpful? 0. 0. Similar questions. The maximum of f (x) = x 2 lo g x (x > 0) occurs at x = Medium. View solution … Web6 mrt. 2024 · Answer: At θ = π/2 +ε , sec (θ) = -Infinity; At θ = π , sec (θ) = - 1; At θ = 3π/2 -ε, sec (θ) = -Infinity; Note2: In this interval sec (θ) has a minimum of -Infinity , and a …
Web15 mrt. 2024 · The min. value of sec q will return max. value for 1/sec θ. But the min. value of sec q is sec 0° = 1. Hence, the max. value of 1/sec0° =1/1=1. ← Prev Question … Web28 nov. 2024 · If `0 lt theta lt (pi)/(2)`, then minimum value of `[tan theta]` is equal to (where [ ] is G.I.F) A. `0` B. `1` C. `2` D. `3` class-12; Share It On Facebook Twitter Email. 1 Answer. 0 votes . answered Sep 23, 2024 by Sangeeta kumari (88.3k points) selected Sep 23, 2024 by Aleena jain . Best answer. Correct ...
WebAnswer (1 of 5): Let f(\theta) = \sin \theta + \cos \theta, and although unimportant, let Dom(f) = [-\pi, \pi]. Now, f(\theta) = \sqrt{2}\left(\frac{1}{\sqrt{2}}\sin ... Web4 apr. 2024 · We check whether the function is minimum by checking the double derivative at θ = θc is greater than zero or not. We use Pythagorean trigonometric identity sec2θ = 1 + tan2θ, cosec2θ = 1 + cot2θ to get the minimum value. Complete step-by-step answer: We are given a trigonometric function in θ from the question as f(θ) = 64secθ + …
WebThe minimum value of sec2 θ + cosec2 θ is 6981 73 Trigonometric Functions Report Error A 2 B 4 C 0 D 1 Solution: sec2θ +cosec2θ = 1+tan2 θ +1+cot2θ = 2+ (tanθ− cotθ)2 + …
Web19 jul. 2013 · Min. value of (sin θ cos θ) n = (½) n The AM GM Logic Let A ,B are any two numbers then, Arithmetic Mean (AM)= (A + B) / 2 and Geometric Mean (GM) = √ (A.B) … safest area in chattanoogaWeb4 apr. 2024 · We check whether the function is minimum by checking the double derivative at θ = θc is greater than zero or not. We use Pythagorean trigonometric identity sec2θ = … safest area in athens greeceWebStep 1: Find the minimum value of first equation. Given functions are, sec 2 x + cosec 2 x and a sin 2 x + b cos 2 x. We have, sec 2 x + cosec 2 x = 2 + tan 2 x + cot 2 x [∵ sec 2 x = 1 + tan 2 x, cosec 2 x = 1 + cot 2 x] We know that, a tan 2 x + b cot 2 x ≥ 2 ab. Comparing with the given equation, a = 1 and b = 1. Thus, the minimum value ... safest area in mexico to travelWeb22 apr. 2024 · Minimum value of a trigonometric function. where 0 < θ < π 2 and a and b are positive real numbers. This is one part of a larger question whose first part I solved. I … safest area in charleston scWebHint: ∫ x16x2−9dx = ∫ x(4x)2−9dx you can make v = 4x,dv = 4dx then you get ∫ vv2−9dv now you can solve the integral above with the ... Integral question using trig identities. … safest area in new yorkWeb17 jul. 2016 · The minimum value is [Math Processing Error]. Explanation: The problem is solved here using "completing the square". First note that we may render the given expression as: [Math Processing Error] [Math Processing Error] [Math Processing Error] Now recall the identity [Math Processing Error] safest area in milwaukeeWebVIDEO ANSWER: If f(\theta)=(\sin \theta+\operatorname{cosec} \theta)^{2}+(\cos \theta+\sec \theta)^{2}, then minimum value of f(\theta) is (1) 7 (2) 8 (3) 9 (4) 4 safest area in florida from hurricanes