The maximum value of sin theta is
SpletSolution: Max. value of sin θ cos θ = Max . value of ( 2sin2θ) = 21 Max. value of sin 2 θ = 21(1) = 21 Splet11. apr. 2024 · Hint: We need to find the minimum value of $ {{\sin }^{2}}\theta +3\sin \theta \cos \theta +5{{\cos }^{2}}\theta $ to find the maximum value of the expression $ \dfrac{1}{{{\sin }^{2}}\theta +3\sin \theta \cos \theta +5{{\cos }^{2}}\theta } $ . First, simplify the expression using trigonometric formulas. Then we try to convert the equation …
The maximum value of sin theta is
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SpletMaximum value of (sinθ + √3cosθ) = 2 For getting minimum value of y , we have to use maximum value of (sinθ + √3cosθ) . So, minimum value of y = 2/-2 = 1 Hence, =1 Suggest Corrections 4 Similar questions Q. If xsin3θ+ycos3θ=sinθcosθ and xsinθ=ycosθ. Find the value of x2+y2. Q. If y= 2 sinθ+√3cosθ, then the minimum value of y ( θ∈[0, π 2]) is Q. SpletExplanation for the correct option: We know that the range of a cos θ + b sin θ is - ( a 2 + b 2), ( a 2 + b 2) Thus, the maximum value of a cos θ + b sin θ is ( a 2 + b 2). Now, to find …
SpletWe know that the maximum value of a cos θ + b sin θ + c is c + ( a 2 + b 2). Substituting a = 13 2, b = - 3 √ 3 2 and c = 3, we get, The maximum value = 3 + 169 4 + 27 4 = 3 + 7 = 10. … SpletIf 3 sin θ +4 cosθ =5, then the value of sin θ is .
Splet06. apr. 2024 · So, the maximum value of the function is 4. Now, to get the minimum value of the function, we need to get sine function minimum which is only possible when θ = − 90 ∘ or 270 ∘ which gives the value as sin θ = − 1. So, we get the minimum function value at sin θ = − 1 as: 4 − ( 2 − 3 ( − 1)) 2 = 4 − ( 2 + 3) 2 ⇒ 4 − ( 5) 2 ⇒ 4 − 25 ⇒ − 21 Splet19. avg. 2005 · I haven't worked it all out, but it seems like this should lead directly to the solution: Take the equation while it still says [tex] \csc ^2 \theta = 2\sec 2\theta \left( {1 + v_0^{ - 2} gh\sec 2\theta } \right) [/tex]
SpletThe max value of sin 2 θ is 1, so the answer must be 4. However my book says that the answer is 5. Where did I go wrong? trigonometry Share Cite Follow edited Nov 5, 2013 at 12:51 egreg 233k 18 133 313 asked Nov 5, 2013 at 12:42 Shaurya Gupta 4,151 8 26 45 1 Your solution looks fine to me. – Pedro ♦ Nov 5, 2013 at 12:49 3
SpletThe maximum and minimum values for sin x and cos x are 1 and -1 respectively. However, the values change depending on the amplitude of the graph, in general: [math]y=a\sin (bx)+c [/math] [math]y=a\cos (bx)+c [/math] shank of beefSplet02. apr. 2024 · The value after substituting the value of θ is the maximum value. Complete step-by-step answer: The trigonometric expression that we need to find the maximum … polymer roof coatingSpletSolution Let Δ = 1 1 1 1 1 + sin θ 1 1 1 1 + cos θ Applying R 2 → R 2 − R 1 and R 3 → R 3 − R 1, we get ∆ = 1 1 1 0 sin θ 0 0 0 cos θ = sin θ cos θ = sin 2 θ 2 We know that −1 ≤ sin2 θ ≤ 1. ∴ Maximum value of ∆ = 1 2 × 1 = 1 2 Concept: Applications of Determinants and Matrices Is there an error in this question or solution? polymers advanced technologies几区SpletDetermine the exact value of sin(θ)+cos(θ) if csc(θ) = 3 and (θ) is in Quadrant II. Draw a triangle. Opposite side is 1, hypotenuse is 3, adjacent side is 2 2 Find sin,cos.Note the signs +,− respectively. A slightly 'expanded-upon' version of user67418's answer: The circle here represents the parametric curve (x = cosθ,y = sinθ), and ... polymers advancedSpletif r sin theta =1 ,r cos theta = root 3 then the Value of root 3 tan theta +1 is #maths #ssc@Borojaedu polymers abbreviationSpletIt is easy to see that this expression is maximal for u = 2 / 3 as it has a negative square. The maximal value is 4 in this case. Method two: Using calculus In order to find the maximum of a function, you can use its derivative. For an maximum it is necessary that the first derivative is zero f ′ ( u) = 12 − 18 u = 0. polymers advanced technologies是几区Spletsin θ is a periodic function with a periodicity of 2π. and, sin θ is a continuous function for θ ε (-α, +α) and, value of sin θ is defined for all real values of θ. and, (-1) ≤ sin θ ≤ (+1) for all … shank of lamb cooking time