Let f(x)=cos(a1+x)+1/2cos(a2+x)+1/(2^2)c...

Let `f(x)=cos(a_1+x)+1/2cos(a_2+x)+1/(2^2)cos(a_1+x)++1/(2^(n-1))cos(a_n+x)` where `a)1,a_2 a_n in Rdot` If `f(x_1)=f(x_2)=0,t h e n|x_2-x_1|` may be equal to `pi` (b) `2pi` (c) `3pi` (d) `pi/2`

Topper's Solved these Questions

TRIGONOMETRIC FUNCTIONS AND IDENTITIES
ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|18 Videos
TRIGONOMETRIC FUNCTIONS AND IDENTITIES
ARIHANT MATHS|Exercise Exercise (Single Integer Answer Type Questions)|22 Videos
TRIGONOMETRIC EQUATIONS AND INEQUATIONS
ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|12 Videos
VECTOR ALGEBRA
ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|9 Videos

Similar Questions

Explore conceptually related problems

f(x)=cos^(-1)(x^(2)/sqrt(1+x^(2)))

Let f(x) = |{:(cos x ,1,0 ),(1,2cosx,1),(0,1,2cosx):}| then

cos 2x- 3 cos x + 1=(1)/((cot 2 x - cot x)sin (x-pi)) holds , if

Let f(x) = sin^(-1) x + cos^(-1) x ". Then " pi/2 is equal to

if f(x) = (x - a_1) (x - a_2) .....(x - a_n) then find the value of lim_(x to a_1) f(x)

Let f(x)=sin^(-1)2x + cos^(-1)2x + sec^(-1)2x . Then the sum of the maximum and minimum values of f(x) is (a) pi (b) pi/2 (c) 2pi (d) (3pi)/2

If f ( x) = cos^(-1) ( cos ( x + 1) ) " and " g(x) = sin ^(-1) ( sin (x + 2)) , then f(1) + g (1) = ( pi -1) f (1) gt g(1) f(2) gt g (2) f(2) lt g (2)

If F :[1,oo)->[2,oo) is given by f(x)=x+1/x ,t h e n \ f^(-1)(x) equals \ \

For f(x) =x^(4) +|x|, let I_(1)= int _(0)^(pi)f(cos x) dx and I_(2)= int_(0)^(pi//2) f(sin x ) dx "then" (I_(1))/(I_(2)) has the value equal to

Let f(x)=|(cos x,e^(x^2) , 2x cos^2x/2),(x^2, sec x, sinx+x^3),(1,2,x+tan x)| then the value of int_(-pi/2)^(pi/2)(x^2+1)(f(x)+f''(x))dx

ARIHANT MATHS-TRIGONOMETRIC FUNCTIONS AND IDENTITIES-Exercise (Subjective Type Questions)

If alpha, beta, gamma are the roots of the cubic x^(3)-px^(2)+qx-r=0 ...
Text Solution
|
The set of values of a for which the equation Sin^4 x + Cos^4 x = a ha...
Text Solution
|
If aa n db are positive quantities such that a > b , the minimum value...
Text Solution
|
If alpha+beta+gamma=2pi, then show that tan.alpha/2 + tan.beta/2 + tan...
Text Solution
|
Eliminate theta from the equations tan(n theta+alpha)-tan(n theta+b...
Text Solution
|
Let f(x)=cos(a1+x)+1/2cos(a2+x)+1/(2^2)cos(a1+x)++1/(2^(n-1))cos(an+x)...
Text Solution
|
Eliminate theta from the equations tan(n theta+alpha)-tan(n theta+b...
Text Solution
|
lf cos^2 alpha -sin^2 alpha = tan^2 beta, then show that tan^2 alpha...
Text Solution
|
If A, B, C are the angle of a triangle and |(sinA,sinB,sinC),(cosA,...
Text Solution
|
In any DeltaABC, prove that Sigma (sqrt(sinA))/(sqrt(sinB)+sqrt(sinC...
Text Solution
|
Find all value of theta which satisfy, sin ( 3 theta + alpha ) + si...
Text Solution
|
If the quadratic equation , 4^(sec^(2)alpha) x^(2) + 2x + (beta^(2)-...
Text Solution
|
If 2costheta=x+1/x, prove that 2cos3theta=x^3+1/x^3
Text Solution
|
If (cos theta(1))/(cos theta(2))+(sin theta(1))/(sin theta(2))=(cos th...
Text Solution
|
Prove that sum(k=1)^(n-1) ""^(n)C(k)[cos k x. cos (n+k)x+sin(n-k)x.s...
Text Solution
|
Solve sin 2x gt sqrt(2) sin^(2) x+ (2-sqrt(2))cos^(2)x
Text Solution
|
The number of solutions of the equation cos[x]=e^(2x-1), x in [0, 2pi]...
Text Solution
|
Prove that: sum(r=0)^(n) 3^( r) ""^(n)C(r) = 4^(n).
Text Solution
|
Resolve Z^5+ 1 into linear & quadratic factors with real coefficients...
Text Solution
|
Prove that the roots of the equation 8x^(3)-4x^(2)-4x+1=0 " are " co...
Text Solution
|