If `0 <= x < 2pi`, then the number of real values of x, which satisfy the equation `cos x + cos 2x + cos 3x + cos 4x = 0`;

1 Answer

Answer :

If `0

Related questions

Description : The number of distinct solutions of the equation `5/4cos^(2)2x + cos^4 x + sin^4 x+cos^6x+sin^6 x =2` in the interval `[0,2pi] ` is

Last Answer : The number of distinct solutions of the equation `5/4cos^(2)2x + cos^4 x + sin^4 x+cos^6x+sin^6 x =2` in the interval `[0,2pi] ` is

Description : If `lim_(x rarr 0) [(2x^(2)+3x+b)/(x^(2)+4x+3)]=2`, then the value of b is ______.

Last Answer : If `lim_(x rarr 0) [(2x^(2)+3x+b)/(x^(2)+4x+3)]=2`, then the value of b is ______.

Description : For what values of m does the equation, `mx^(2) + (3x-1)m + 2x + 5 = 0` have equal roots of opposite sign ?

Last Answer : For what values of m does the equation, `mx^(2) + (3x-1)m + 2x + 5 = 0` have equal roots of opposite sign ?

Description : A pair of linear equations which has a unique solution x = 2, y = -3 is (a) x + y = -1 ; 2x – 3y = -5 (b) 2x + 5y = -11 ; 4x + 10y = -22(c) 2x – y = 1 ; 3x + 2y = 0 (d) x – 4y – 14 = 0 ;5x – y – 13 = 0

Last Answer : (d) x – 4y – 14 = 0 ;5x – y – 13 = 0

Description : Find the range of values of x which satisfy x^2 + 6x – 27 > 0, –x^2 + 3x + 4 > 0 simultaneously. -Maths 9th

Last Answer : answer:

Description : Which of the following values of x do not satisfy the inequality x^2 – 3x + 2 > 0 at all. -Maths 9th

Last Answer : answer:

Description : Find the intervals in which the function `f(x) = sin x +cos x,x in [0, 2pi]` is (i) strictly increasing, (ii) strictly decreasing.

Last Answer : Find the intervals in which the function `f(x) = sin x +cos x,x in [0, 2pi]` is (i) strictly increasing, (ii) strictly decreasing.

Description : Evaluate: `lim_(x rarr oo) (x^(5)+3x^(4)-4x^(3)-3x^(2)+2x+1)/(2x^(5)+4x^(2)-9x+16)`.

Last Answer : Evaluate: `lim_(x rarr oo) (x^(5)+3x^(4)-4x^(3)-3x^(2)+2x+1)/(2x^(5)+4x^(2)-9x+16)`.

Description : Solve for `x` `(i) |x+1|=4x+3` `(ii) |x+1|=|x+3|` `(iii) 7|x-2|-|x-7|=5` `(iv) ||x-1|-2|=6x+8` `(v) |2x^(2)-3x+1|=|x^(2)+x-3|`

Last Answer : Solve for `x` `(i) |x+1|=4x+3` `(ii) |x+1|=|x+3|` `(iii) 7|x-2|-|x-7|=5` `(iv) ||x-1|-2|=6x+8` `(v) |2x^(2)-3x+1|=|x^(2)+x-3|`

Description : `int cos 2x . cos 4x . cos 6x dx`

Last Answer : `int cos 2x . cos 4x . cos 6x dx`

Description : `int cos 4x. cos 2x dx`

Last Answer : `int cos 4x. cos 2x dx`

Description : If `f(x)={x}+{x+[(x)/(1+x^(2))]}+{x+[(x)/(1+2x^(2))]}+{x+[(x)/(1+3x^(2))]}.......+{x+[(x)/(1+99x^(2))]}`, then values of `[f(sqrt(3))]` is where `[*]`

Last Answer : If `f(x)={x}+{x+[(x)/(1+x^(2))]}+{x+[(x)/(1+2x^(2))]}+{x+[(x)/(1+3x^(2))]} ... represent fractional part function) A. `5050` B. `4950` C. `17` D. `73`

Description : Let `theta ,phi in [0,2pi]` be such that `2 cos theta (1-sin phi)=sin^2 theta ((tan)theta/2+(cot)theta/2) cos phi -1, tan(2pi-theta) > 0 and -1 <

Last Answer : Let `theta ,phi in [0,2pi]` be such that `2 cos theta (1-sin phi)=sin^2 theta ((tan)theta/2+(cot)theta/2) ... (3pi)/(2)` D. `(3pi)/(2) lt phi lt 2pi`

Description : `int(4x-3)/(3x^2+2x-5)dx`

Last Answer : `int(4x-3)/(3x^2+2x-5)dx`

Description : Find the values of x for which the following functions are maximum or minimum: (i) ` x^(3)- 3x^(2) - 9x ` (ii) ` 4x^(3)-15x^(2)+12x+1` (iii) ` 1-x-x^(

Last Answer : Find the values of x for which the following functions are maximum or minimum: (i) ` x^(3)- 3x^(2) - 9x ` (ii) ` 4x ... (v) `(x^(2)-x+1)/(x^(2)+x+1)`

Description : `int e^(3x) " cos 2x dx "`

Last Answer : `int e^(3x) " cos 2x dx "`

Description : If a + b = 1 ,and the ordered pair (a, b) satisfies the equation 2x + y = , then it also satisfies (a) 2x + y (b) 3x + 4y = 3 (c) x + 2y = (d) 2x + 4y =

Last Answer : (c) x + 2y =

Description : If the equation `3x^(2) - 2x-3 = 0`has roots `alpha`, and `beta` then `alpha.beta = "______"`.

Last Answer : If the equation `3x^(2) - 2x-3 = 0`has roots `alpha`, and `beta` then `alpha.beta = "______"`.

Description : Find the maximum and minimum values of the function `f(x) = (sin x)/(1+ tan x) ,(0 lt x lt 2pi)`.

Last Answer : Find the maximum and minimum values of the function `f(x) = (sin x)/(1+ tan x) ,(0 lt x lt 2pi)`.

Description : The roots of the equation `2x^(2) + 3x + c = 0` (where `x lt 0`) could be `"______"`.

Last Answer : The roots of the equation `2x^(2) + 3x + c = 0` (where `x lt 0`) could be `"______"`.

Description : Find the maximum and minimum values of the function `f(x) = sin x + cos 2x`.

Last Answer : Find the maximum and minimum values of the function `f(x) = sin x + cos 2x`.

Description : The equation `2sin^3theta+(2lambda-3)sin^2theta-(3lambda+2)sintheta-2lambda=0` has exactly three roots in `(0,2pi)` , then `lambda` can be equal to 0

Last Answer : The equation `2sin^3theta+(2lambda-3)sin^2theta-(3lambda+2)sintheta-2lambda=0` has exactly three roots in `(0,2pi)` , ... -1 B. 0 C. `(1)/(2)` D. 1

Description : If `A = sin^2x + cos^4 x`, then for all real x :

Last Answer : If `A = sin^2x + cos^4 x`, then for all real x : A. `(3)/(4) le A le 1` B. `(13)/(16) le A le 1` C. `1 le A le 2` D. `(3)/(4) le A le (13)/(16)`

Description : What is the equation of the line joining the origin with the point of intersection of the lines 4x + 3y = 12 and 3x + 4y = 12 ? -Maths 9th

Last Answer : (b) (5, 6)Let the foot of the perpendicular be M(x1, y1) Slope of line AB, i.e., y = -x + 11 = -1 Slope of line PM = \(rac{y_1-3}{x_1-2}\)Now, PM ⊥ AB⇒ \(\bigg(rac{y_1-3}{x_1-2}\bigg)\) x - ... get 2x1 = 10 ⇒ x1 = 5 Putting x1 in (ii), we get y1 = 6. ∴ Required foot of the perpendicular M is (5, 6).

Description : The angle A lies in the third quadrant and it satisfies the equation 4 (sin^2x + cos x) = 1. What is the measure of angle A? -Maths 9th

Last Answer : answer:

Description : A quadratic equation whose roots are 2 moe than the roots of the quadratic equation `2x^(2) +3x + 5 = 0`, can be obtained by substituting `"_____"` fo

Last Answer : A quadratic equation whose roots are 2 moe than the roots of the quadratic equation `2x^(2) +3x + 5 = 0`, can be ... `"_____"` for x. `[(x-2)//(x+2)]`

Description : For the equation `2x^(2) - 3x + 5 = 0` sum of the roots is `"______"`.

Last Answer : For the equation `2x^(2) - 3x + 5 = 0` sum of the roots is `"______"`.

Description : Find the equation of tangent of the curve `y^(2) = 4x+5` which is parallel to the line ` 2x-y=5`.

Last Answer : Find the equation of tangent of the curve `y^(2) = 4x+5` which is parallel to the line ` 2x-y=5`.

Description : One equation of a pair of dependent linear equation is -2x + 3y = 9 , the second equation can be e) 4x + 6y = 18 f) 4x - 6y = - 18 g) -4x – 6y = 18 h) None of these

Last Answer : f) 4x - 6y = - 18

Description : One equation of a pair of dependent linear equation is -2x + 3y = 9 , the second equation can be a) 4x + 6y = 18 b) 4x - 6y = - 18 c) -4x – 6y = 18 d) None of these

Last Answer : b) 4x - 6y = - 18

Description : All solutions of the linear equation 2x + 3y = 7 are also the solutions of equation (a) 5x + 6y = 13 (b) 4x + 6y = 11 (c) 6x + 9y = 7 (d) 6x + 9y = 21

Last Answer : (d) 6x + 9y = 21

Description : The set of angles between `0` and `2pi` satisfying the equation `4cos^2theta-2sqrt2costheta-1=0` is

Last Answer : The set of angles between `0` and `2pi` satisfying the equation `4cos^2theta-2sqrt2costheta-1=0` is A. `{(pi)/( ... (7pi)/(12),(17)/(12),(23pi)/(12)}`

Description : If the roots of the quadratic equation `4x^(2) -16x + p = 0`, are real and unequal, then find the value/s of p.

Last Answer : If the roots of the quadratic equation `4x^(2) -16x + p = 0`, are real and unequal, then find the value/s of p.

Description : If `f(x)=3x^(2)+4x-1`, then find the approximate value of `f(3.1)`.

Last Answer : If `f(x)=3x^(2)+4x-1`, then find the approximate value of `f(3.1)`.

Description : Let `f : [-1, -1/2] rarr [-1, 1]` is defined by `f(x)=4x^(3)-3x`, then `f^(-1) (x)` is

Last Answer : Let `f : [-1, -1/2] rarr [-1, 1]` is defined by `f(x)=4x^(3)-3x`, then `f^(-1) (x)` is A. `cos (1/3 ... /3+1/3 cos^(-1) x)` D. `sin (1/3 sin^(-1) x)`

Description : What are the number of solutions for real x, which satisfy the equation -Maths 9th

Last Answer : log2 x>0 2log2 log2 x+log21 log2 (22 x)=1 ⇒2log2 log2 x−log2 log2 (22 x)=1[∵loga1 b=−loga b] $$\Rightarrow \log _{ 2 }{ \left[ \dfrac { { \left( \log _{ 2 }{ x } \right) }^{ 2 } }{ \log_{ 2 } ... log2 (22 )2=log2 8=log2 23=3] ⇒t=3,−1=log2 x ⇒x=2−1or 23 That is x=21 or 8 Hence, the answer is 8.

Description : If `f(x)=|(1,x,x+1),(2x,x(x-1),(x+1)x),(3x(x-1),x(x-1)(x-2),(x+1)x(x-1))|,` then f(100) is equal to - (i)`0` (ii)`1` (iii)`100` (iv)`-100`

Last Answer : If `f(x)=|(1,x,x+1),(2x,x(x-1),(x+1)x),(3x(x-1),x(x-1)(x-2),(x+1)x(x-1))|,` then f(100) is equal to - (i)`0` (ii)`1` (iii)`100` (iv)`-100`

Description : If `f(x)=|(1,x,x+1),(2x,x(x-1),(x+1)x),(3x(x-1),x(x-1)(x-2),(x+1)x(x-1))|,` then f(100) is equal to - (i)`0` (ii)`1` (iii)`100` (iv)`-100`

Last Answer : If `f(x)=|(1,x,x+1),(2x,x(x-1),(x+1)x),(3x(x-1),x(x-1)(x-2),(x+1)x(x-1))|,` then f(100) is ... `1` (iii)`100` (iv)`-100` A. 1 B. 0 C. 100 D. `-100`

Description : 30. Radical centre of circles drawn on the sides as a diameter of triangle formed by the lines the `3x-4y+6=0`, `x-y+2=0` and `4x+3y-17=0` is

Last Answer : 30. Radical centre of circles drawn on the sides as a diameter of triangle formed by the lines the `3x-4y+6=0`, `x-y+ ... . (-2,3) C. (-2,-3) D. (2,3)

Description : Find the range of real values of x for which (x-1)/(4x+5)

Last Answer : answer:

Description : If sin^4x + sin^2x = 1 then what is 1 are the value of cot^4 x + cot^2 x? -Maths 9th

Last Answer : answer:

Description : The positive integer value of `n gt 3` satisfying the equation `(1)/(sin((pi)/(n)))=(1)/(sin((2pi)/(n)))+(1)/(sin((3pi)/(n)))` is

Last Answer : The positive integer value of `n gt 3` satisfying the equation `(1)/(sin((pi)/(n)))=(1)/(sin((2pi)/(n)))+(1)/(sin((3pi)/(n)))` is

Description : ` int_(0)^(pi//6) cos x cos 3x dx`

Last Answer : ` int_(0)^(pi//6) cos x cos 3x dx`

Description : `(i) int_(0)^(pi//2) x sin x cos x dx` `(ii) int_(0)^(pi//6) (2+3x^(2)) cos 3x dx`

Last Answer : `(i) int_(0)^(pi//2) x sin x cos x dx` `(ii) int_(0)^(pi//6) (2+3x^(2)) cos 3x dx`

Description : The function `f(x)=(x^2-1)|x^2-3x+2|+cos(|x|)` is not differentiable at (a)-1 (b)0 (c)1 (d)2

Last Answer : The function `f(x)=(x^2-1)|x^2-3x+2|+cos(|x|)` is not differentiable at (a)-1 (b)0 (c)1 (d)2 A. `-1` B. 0 C. 2 D. 1

Description : For what value of c, the linear equation 2x + cy = 8 has equal values of x and y for its solution? -Maths 9th

Last Answer : The given linear equation is 2x + cy= 8. …(i) Now, by condition, x and y-coordinate of given linear equation are same, i.e., x = y. Put y = x in Eq. (i), we get

Description : For what value of c, the linear equation 2x + cy = 8 has equal values of x and y for its solution? -Maths 9th

Last Answer : The given linear equation is 2x + cy= 8. …(i) Now, by condition, x and y-coordinate of given linear equation are same, i.e., x = y. Put y = x in Eq. (i), we get

Description : For what value of c, the linear equation 2x + cy = 8 has equal values of x and y as its solution? -Maths 9th

Last Answer : Solution :-

Description : Solve the following equations : `(i) log_(x)(4x-3)=2` `(ii) log_2)(x-1)+log_(2)(x-3)=3` `(iii) log_(2)(log_(8)(x^(2)-1))=0` `(iv) 4^(log_(2)x)-2x-3=0`

Last Answer : Solve the following equations : `(i) log_(x)(4x-3)=2` `(ii) log_2)(x-1)+log_(2)(x-3)=3` `(iii) log_(2)(log_(8)(x^(2)-1))=0` `(iv) 4^(log_(2)x)-2x-3=0`

Description : If tan x = b/a , then what is the value of a cos 2x + b sin 2x? -Maths 9th

Last Answer : answer: