If sin x cos x what is the value of x
WebThe max value of f ( x) = sin ( cos x) + cos ( sin x) is equal to 1 + sin 1. What is the minimum value of f ( x)? I found the max value using that range sin ( cos x) is [ − sin 1, sin 1] and range of cos ( sin x) is [ cos 1, 1] and the maximum of both occurs at x = 0. Although I can't find the min value using this approach. Web15 jun. 2024 · I don't understand your description of the second solution of the second question, but your first solution of that question is correct, the range is $[1,\sqrt{2}]$.. The method for solving the first question is to follow definitions and think logically.
If sin x cos x what is the value of x
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WebWe have that f (x) = sinx −xcosx f (0)= 0, f (π) = π and since sinx > 0 for x ∈ (0,π) f ′(x) = xsinx > 0 thus f (x) is strictly increasing on that interval and f (x) > 0. More Items Examples Quadratic equation x2 − 4x − 5 = 0 Trigonometry 4sinθ cosθ = 2sinθ Linear equation y = 3x + 4 Arithmetic 699 ∗533 Matrix [ 2 5 3 4][ 2 −1 0 1 3 5] Web24 mei 2016 · 4sqrt5 sin x = 2/3 , find cos x. cos^2 x = 1 - sin^2 x = 1 - 4/9 = 5/9 cos x = +- sqrt5/3 Since x is in Quadrant I, then, cos x is positive cos x = sqrt5/3 tan x = sin x/(cos x) = (2/3)(3/sqrt5) = 2/sqrt5 = (2sqrt5)/5 Apply the trig identity: tan 2x = (2tan x)/(1 - tan^2 x) tan 2x = ((4sqrt5)/5)/(1 - 4/5) = (4sqrt5/5)(5/1) = 4sqrt5
WebTherefore sin² x = 1 − cos² x = 1 − (4/5)² = (25 − 16)/25 = 9/25. Taking the [principal] square root of both sides yields: sin x = 3/5. [Remember that √ (x²) = x , not x, not ±x, and x = … Web9 sep. 2024 · 0 = A 2 + A − 2 A − 2 → WolframAlpha finds the solution : A ≈ 1.7049 So: c = ± A 4 2 We consider for c o s x in the 1st quarter: x = a r c c o s ( A 4 2) ≈ 36.1 ∘ *Also: If I would stand by s = ± A 4 2 → x ≈ 53.9 ∘ (1st quarter) Other possibilities via E + F = ( 9) 6 answered Errata: I not thought that:
WebSubstituting for in the first equation gives a quadratic equation in : The roots of this quadratic are Since , the corresponding values for are Multiplying either pair of corresponding values gives the result . This method is much more laborious than the original solution, but requires no cleverness or flash of insight. Share Cite Follow Web8 mei 2015 · sin x = cos x ⇒ tan x = 1 because clearly cos x ≠ 0 so we can divide both sides by cos x. Therefore, when x ∈ [ 0, 2 π], the solutions are x 1 = 1 4 π and x 2 = 5 4 π. Here is the figure. Edit: When you square both sides, you will make ( − sin x) 2 = ( sin x) 2. If − sin x = cos x, their squares are equal, which is a problem since they are not 0.
WebIf sinx=cosx and x is acute, state the value of x. Medium Solution Verified by Toppr sinx=cosx ⇒ cosxsinx=1 ⇒tan(x)=1 ⇒x=tan −1(1) ⇒x=45 o (or) sinx=cosx ⇒sinx=sin(90−x) ⇒x=sin −1[sin(90−x)] ⇒x=90−x ⇒2x=90 ⇒x= 290 ⇒x=45 o. Was this answer helpful? 0 0 Similar questions If 4cos 2x=3 and x is an acute angle; find the …
Web31 jan. 2024 · Solution: If sin xcosx > 0, then x may lie in what quadrant? Solution: Find the values of x, where 0 ≤ x ≤ 360, such that 2sin^2 x+5cosx+1=0 Solution: If log x+log … my pension did not go in my accountWeb13 apr. 2024 · What is the value of\( \cos \left(\frac{\pi}{4}-x\right) \cos \left(\frac{\pi}{4}-y\right)-\sin \left(\frac{\pi}{4}-x\right) \sin \left(\frac{\pi}{4}-y\right... my pension expert researchWeb19 apr. 2024 · Sin (90-x)=cos (x), so 90-x=x+20. Solve for x: 90-x=x+20 70=2x x=35 degrees. Proof for the identity, sin (90-x)=cos (x): Recall the following formulas: These … my pension expertWebIf sin x = cos x, that means we can construct a right triangle, where opp/hyp=adj/hyp, or where opp=adj. This means we not only have a right triangle, it's also an isoceles … oldest person in the new testamentWebThe value of \( \int_{0}^{2 n \pi}[\sin x+\cos x] d x \) is equal to (where [ ] is math xmlns=http://www.w3.org/1998/Math/MathMLmi mathvariant=normalG/mimo./... my pension contribution is not transferredWebsinx−cosx=0⇒x=45 ∘ ∴sin 445 ∘+cos 445 ∘ =( 21)4+( 21)4 = 41+ 41= 21 Was this answer helpful? 0 0 Similar questions If sinA+cosA=m and sin 3A+cos 3A=n, then Medium … oldest person in space 2021WebFind exact values of sin(2x); cos(2x); tan(2x) without solving for x if cos x = 2/3 and x is in quadrant I. How to solve cos(2x) - cos(x) = 0 Solve sin(2x) = 3 sin(x), finding all … my pension fedex