Home
Class 12
MATHS
Solve tanx >cotx , where x in [0,2pi]....

Solve `tanx >cotx ,` where `x in [0,2pi]`.

Text Solution

AI Generated Solution

To solve the inequality \( \tan x > \cot x \) for \( x \) in the interval \( [0, 2\pi] \), we can follow these steps: ### Step 1: Rewrite the inequality We start with the given inequality: \[ \tan x > \cot x \] Using the definitions of tangent and cotangent, we can rewrite this as: ...
Promotional Banner

Topper's Solved these Questions

  • GRAPHS OF TRIGONOMETRIC FUNCTIONS

    CENGAGE ENGLISH|Exercise Exercises|22 Videos

  • GRAPHS OF ELEMENTARY FUNCTIONS

    CENGAGE ENGLISH|Exercise EXERCISES|34 Videos

  • HIGHT AND DISTANCE

    CENGAGE ENGLISH|Exercise Archives|3 Videos

Similar Questions

Explore conceptually related problems

Comprehension 2 (Q.No 4 to 6) It is known that sqrt(tanx)+sqrt(cotx)={{:(sqrt(sinx)/sqrt(cosx)+sqrt(cosx)/sqrt(sinx), if 0ltxltpi/2),(sqrt(-sinx)/sqrt(cosx)+sqrt(-cosx)/sqrt(-sinx),if pi lt x lt (3pi)/(2)):} d/(dx)(sqrt(tanx)-sqrt(cotx)) =1/2(sqrt(tanx)+sqrt(cotx))(tanx+cotx), AA in (0,pi,2) uu (pi,(3pi)/2) and d/(dx)(sqrt(tanx)+sqrt(cotx))=1/2(sqrt(tanx)-sqrt(cotx))(tanx+cotx), AA x in (0,pi/2) uu (pi, (3pi)/(2)) . Value of the integral I=int(sqrt(tanx)+sqrt(cotx)) dx, where x in (0,pi/2) , is

Find the number of solutions of tanx + secx = 2cosx in [0,2pi]

Let f(x)=min.[tanx, cotx, 1/sqrt(3)], x in [0, pi/2] . If the area bounded by y=f(x) and x-axis is ln(a/b)+pi/(6sqrt(3)) , where a,b are coprimes. Then ab =…..

Solve : sec x cos 5x+1=0 , where 0ltxle(pi)/(2) .

If f(x)=max{tanx, sin x, cos x} where x in [-(pi)/(2),(3pi)/(2)) then the number of points, where f(x) is non -differentiable, is

Find the number of solution to the equation x^(2)tanx=1,x in [0,2pi].

int_0^a log (cota+ tanx)dx where a in (0,pi/2) is

Examine which is greater : sin x tan x or x^(2) , Hence evaluate lim_(hto0) [(sin x tanx)/(x^(2))], " Where " x in (0,(pi)/(2))

If set A={x:tanx = secx, x in [0, 4pi]} and " set "B={x:sin^(2)x=1, x in [0, 4pi]} , then

Solve |sinx +cos x |=|sinx|+|cosx|, x in [0,2pi] .

CENGAGE ENGLISH-GRAPHS OF TRIGONOMETRIC FUNCTIONS-Exercises
  1. Solve tanx >cotx , where x in [0,2pi].

    Text Solution

    |

  2. Draw the graph of y = " cosec "^(2) x - cot^(2) x. Is f(x) periodic ? ...

    Text Solution

    |

  3. Draw the graph of y = cos pix.

    Text Solution

    |

  4. Draw the graph of y = cos^(2)x.

    Text Solution

    |

  5. Find the value of x for which f(x)=sqrt(sinx-cosx) is defined, x in [0...

    Text Solution

    |

  6. Draw the graph of y = tan^(2) x.

    Text Solution

    |

  7. Draw the graph of y = sin x + cos x, x in [0, 2pi].

    Text Solution

    |

  8. Draw the graph of y = [cos x], x in [0, 2pi], where [*] represents the...

    Text Solution

    |

  9. Draw the graph of y = sin pisqrt(x).

    Text Solution

    |

  10. Find the number of roots of the equation x sin x = 1, x in [-2pi, 0) ...

    Text Solution

    |

  11. Evaluate : [lim(x to 0) (tan x)/(x)], where [*] represents the greates...

    Text Solution

    |

  12. For f(x) = sin x - x^(2) + 1, check weather the function is increasing...

    Text Solution

    |

  13. Draw the graph of the function f(x)=m a xdot{sinx ,cos2x},x in [0,2pi]...

    Text Solution

    |

  14. Draw the graph of [y] = cos x, x in [0, 2pi], where [*] denotes the g...

    Text Solution

    |

  15. The total number of solution of sin{x}=cos{x} (where {} denotes the fr...

    Text Solution

    |

  16. Draw the graph of f(x) = |tan x| + |cot x|.

    Text Solution

    |

  17. Find the number of solutions to cos x = (x)/(10), x gt 0.

    Text Solution

    |

  18. The number of solutions of tanx-m x=0,m >1, in (-pi/2,pi/2) is 1 (b) 2...

    Text Solution

    |

  19. Find the number of solutions to log(e) |sin x| = -x^(2) + 2x in [-(pi)...

    Text Solution

    |

  20. Solve : Cos x le - (1)/(2).

    Text Solution

    |

  21. Prove that the least positive value of x , satisfying tanx=x+1, lies i...

    Text Solution

    |