Home
Class 11
MATHS
Prot that the equation k cos x-3s in ...

Prot that the equation `k cos x-3s in x=k+1` possess a solution if `k in (-oo,4]dot`

Text Solution

AI Generated Solution

To prove that the equation \( k \cos x - 3 \sin x = k + 1 \) possesses a solution if \( k \in (-\infty, 4] \), we can follow these steps: ### Step 1: Rearranging the Equation We start with the equation: \[ k \cos x - 3 \sin x = k + 1 \] Rearranging gives us: ...
Promotional Banner

Topper's Solved these Questions

  • BASIC MATHS,LOGARITHIM, TRIGNOMETRIC RATIO AND IDENTITIES AND TRIGNOMETRIC EQUATION

    ALLEN|Exercise DO YOURSELF|20 Videos

  • BASIC MATHS,LOGARITHIM, TRIGNOMETRIC RATIO AND IDENTITIES AND TRIGNOMETRIC EQUATION

    ALLEN|Exercise DO YOURSELF 1|2 Videos

  • BASIC MATHS LOGARITHIM TRIGNOMETRIC RATIO AND IDENTITIES AND TRIGNOMETRIC EQUATION

    ALLEN|Exercise ILLUSTRATIONS|39 Videos

  • INVERSE TRIGONOMETRIC FUNCTIONS

    ALLEN|Exercise All Questions|1 Videos

Similar Questions

Explore conceptually related problems

Prot that the equation k cos x-3sin x=k+1 possess a solution if k in (-oo,4] .

The equation 2sin^(2)x=8-k(2-sinx) possesses a solution if

If the equation kcosx-3sinx=k+1 has a solution for x then

The values of k for which the equation sin^4 x+cos^4 x+sin2x+k=0 possess solution

The number of integral values of k for which the equation 7cos x +5 sinx=2k+1 has a solution is (1) 4 (2) 8 (3) 10 (4) 12

The number of integral values of k for which the equation 7cos x +5 sinx=2k+1 has a solution is (1) 4 (2) 8 (3) 10 (4) 12

The equation "sin"^(4) x - (k +2)"sin"^(2) x - (k + 3) = 0 possesses a solution, if

The equation "sin"^(4) x - (k +2)"sin"^(2) x - (k + 3) = 0 possesses a solution, if

The equation sin^(4) x + cos^(4) x + sin 2x + k = 0 must have real solutions if :

The value of k for which the system of equations k x-y=2 and 6x-2y=3 has a unique solution, is (a) k=3 (b) k !=3 (c) k !=0 (d) k =0