Home
Class 12
MATHS
Let theta in (0, pi/4) and t(1)=tan thet...

Let `theta in (0, pi/4)` and `t_(1)=tan theta)^(tan theta), t_(2)=(tan theta)^(cot theta), t_(3)=(cot theta)^(tan theta)` and `t_(4)=(cot theta)^(cot theta)`, then

A

`d gt c`

B

`b lt a`

C

`c gt a`

D

`b lt a lt c lt d `

Text Solution

Verified by Experts

The correct Answer is:
A, B, C, D
Promotional Banner

Topper's Solved these Questions

  • TRIGNOMETRIC FUNCTIONS

    AAKASH INSTITUTE ENGLISH|Exercise Section D (Linked Comprehension Type Questions)|27 Videos

  • TRIGNOMETRIC FUNCTIONS

    AAKASH INSTITUTE ENGLISH|Exercise Section E (Assertion-Reason Types Questions)|18 Videos

  • TRIGNOMETRIC FUNCTIONS

    AAKASH INSTITUTE ENGLISH|Exercise Section-B (Objective Type Questions One option is correct)|131 Videos

  • THREE DIMENSIONAL GEOMETRY

    AAKASH INSTITUTE ENGLISH|Exercise ASSIGNMENT SECTION - J|10 Videos

  • VECTOR ALGEBRA

    AAKASH INSTITUTE ENGLISH|Exercise SECTION-J (Aakash Challengers Questions)|5 Videos

Similar Questions

Explore conceptually related problems

Let theta in (0,pi/4) and t_1=(tan theta)^(tan theta), t_2=(tan theta)6(cot theta), t_3=(cot theta)^(tan theta) and t_4=(cot theta)^(cot theta), then

Let theta in ( 0, pi/4) and t_1 = (tan theta)^(tan theta) , t_2 = (tan theta)^(cot theta), t_3 = ( cot theta)^(tan theta), t_4=(cot theta)^(cot theta) , then

Prove that (tan theta)/(1-cot theta)+(cot theta)/(1-tan theta) = (sec theta cosec theta +1)

tan theta + 2 tan 2 theta + 4 tan 4 theta + 8 cot 8 theta = cot theta.

Prove that : (tan theta)/(1 -cot theta) + (cot theta)/(1- tan theta) = 1 + sec theta cosec theta

If x=sec theta-tan theta and y="cosec"theta+cot theta," then " y-x-xy=

Prove that cot(theta/2)-tan(theta/2)=2cot theta

y=1/((1+tan theta)^(sin theta-cos theta)+(cot theta)^(cos theta-cot theta))+ 1/((1+tan theta)^(cos theta-sin theta)+(cot theta)^(sin theta-cottheta)) +1/((1+tan theta)^(cos theta-cot theta)+(cot theta)^(cot theta-sin theta)) then (dy)/(dx) at theta=pi/3 is

Solve 2 tan theta-cot theta=-1 .

prove that (cosec theta + cot theta)/(cosec theta- cot theta) = (cosec theta +cot theta)^2

AAKASH INSTITUTE ENGLISH-TRIGNOMETRIC FUNCTIONS -Section-C (Objective Type Questions More than one options are correct )
  1. Which of the following identities are correct?

    Text Solution

    |

  2. The value of the expression sinx+ siny + sinz where x, y, z are real ...

    Text Solution

    |

  3. Let theta in (0, pi/4) and t(1)=tan theta)^(tan theta), t(2)=(tan thet...

    Text Solution

    |

  4. If tan( pi/4 + x). tan(pi/4 - x) = 1 , then x equals

    Text Solution

    |

  5. Find the value of tan22.5^(@)

    Text Solution

    |

  6. If alphaa n dbeta are acute angles satisfying cos2alpha=(3cos2beta-1)/...

    Text Solution

    |

  7. If sin alpha=-3/6, alpha in [0,2pi] then the possible values of cos (a...

    Text Solution

    |

  8. f(alpha,beta) = cos^2(alpha)+ cos^2(alpha+beta)- 2 cosalpha cosbeta co...

    Text Solution

    |

  9. The value of cosA cos2A cos2^2A......cos(2^(n-1)A), where A in R may...

    Text Solution

    |

  10. If A+B=pi/3, and cosA+cosB=1, then which of the following is true:

    Text Solution

    |

  11. cos^3x.sin2x=sum(m=1)^n(am)sin mx is an identity in x.

    Text Solution

    |

  12. If 0 lt alpha, beta lt pi and they satisfy cos alpha + cosbeta - cos(a...

    Text Solution

    |

  13. The angles A, B, C of a triangle ABC satisfy 4cosAcosB + sin2A + sin2B...

    Text Solution

    |

  14. Which of the following statement(s) is/are correct?

    Text Solution

    |

  15. If sintheta=K, -1<=K<=1 then number of values of theta for same value ...

    Text Solution

    |

  16. If the sides of a right angled triangle are {cos 2 alpha + cos 2 bet...

    Text Solution

    |

  17. Let a and b be real numbers such that sina + sinb =1/sqrt(2), cosa + c...

    Text Solution

    |

  18. Let A and B denote the statements A:cos alpha+ cos beta+cos gamma=0 ...

    Text Solution

    |

  19. If 4costheta-3sectheta=2tantheta, then theta is equal to

    Text Solution

    |

  20. If alpha in [-2pi, 2pi] and cos.(alpha)/(2)+sin.(alpha)/(2)=sqrt(2)(co...

    Text Solution

    |