sin(x+(pi)/(6))+cos(x+(pi)/(6)) =sqrt(2)[(1)/sqrt(2)sin(x+(pi)/(6))+1/sqrt(2)(x+(pi)/(6))] =sqrt(2)[sin((x+(pi)/(6))cos (pi)/(4)+cos((x+(pi)/(6))sin(pi)/(4)] =sqrt(2)[sin(x+(pi)/(6)+(pi)/(4))] =sqrt(2)[sin(x+(5 pi)/(12))]...
For the function f(x) = sin(x) + cos(x), the maximum value of the function in the interval [0, 2π] is: A. √2 B. 1 C. 2 D. -√2 相关知识点: 试题来源: 解析 A。f(x) = √2sin(x + π/4),在区间 [0, 2π] 中,最大值为 √2。
If P=cos(cos x)+sin (cos x), then the least and greatest value of P re... 02:12 If un=sin(n theta) sec^n theta,vn=cos(ntheta)sec^ntheta n in N n!=1 t... 06:27 If 0lt=xlt=pi/3 then range of f(x)=sec(pi/6-x)+sec(pi/6+x) is (4/(sqrt... 04:18 If A...
Find the maximum and minimum values of the function g( ) = 4 8sin ( ) on the interval (0, /2) Minimum value = Maximum value = Find the maximum and minimum values of the function f(x) = x - \frac{27x}{x + 3} on the interval [0, 9]. The minimum value = ...
Find the absolute maximum of the function f(x) = sin(6x) + cos(6x) on the interval [0, pi/18]. Find the absolute maximum value for f(x) = x^2 - 4x - 32 on the interval [-3, 9]. What is the absolute minimum value of the function...
Differentiate using the, which states thatddθ[f(g(θ))]isf′(g(θ))g′(θ)wheref(θ)=sin(θ)andg(θ)=3θ2. To apply the,uas3θ2. f′′(θ)=-6(ddu(sin(u))ddθ(3θ2)) Theofsin(u)with respect touiscos(u).
Homework Statement Find the maximum value of the function f(x, y) = x + y subject to the con- straint xy = 16, x > 0, y > 0. Homework Equations...
(a) Find the maximum and minimum values of f on the given interval f(x) =sinxcosx+cos2x(0,2π) (b) Find the derivative of the following function: y=1In(cos(sinh(e2x)))Minima & Maxima:With use of one of the two methods to find the maxima ...
Minimum value ofcos2θ+cosθfor all real value ofθis View Solution Forθ∈(0,π2), the maximum value ofsin(θ+π6)+cos(θ+π6)is attained atθ= View Solution Statement I The maximum value ofsinθ+cosθis 2. Statement II The maximum value ofsinθis 1 and that ofcosθis also...
The maximum value ofsin(x+π5)+cos(x+π5),wherex∈(0,π2),is attained at View Solution Show thatf(x)=sinx(1+cosx)is maximum atx=π3in the interval[0,π]. View Solution The value ofcin Lagranges theorem for the functionf(x)=logsinxin the interval[π6,5π6]is (a)π4(b)...