Home
Class 11
MATHS
(sec8A-1)/(sec4A-1) is equal to (A) (ta...

`(sec8A-1)/(sec4A-1)` is equal to (A) `(tan2A)/(tan8A)` (B) `(tan8A)/(tan2A)` (C) `(cot8A)/(cot2A)` (D) none of these

Text Solution

AI Generated Solution

Promotional Banner

Topper's Solved these Questions

  • TRIGONOMETRIC RATIOS OF COMPOUND ANGLES

    RD SHARMA ENGLISH|Exercise All Questions|149 Videos

Similar Questions

Explore conceptually related problems

Prove that (sec 8A-1)/( sec 4 A -1) = ( tan 8 A)/( tan 2A).

9sec^2A-9tan^2A is equal to (a) 1 (b) 9 (c) 8 (d) 0

(sin^2A-sin^2B)/(sinAcosA-sinBcosB) is equal to (a) tan(A-B) (b) "tan"(A+B) (c) cot(A-B) (d) cot(A+B)

Prove that: (sec4A-1)/(sec8A-1)=tan2A. cot8A

(1+tan^2A)/(1+cot^2A) is equal to sec^2A (b) -1 (c) cot^2A (d) tan^2A

The value of 2tan^(-1)(cos e ctan^(-1)x-tancot^(-1)x) is equal to (a) cot^(-1)x (b) cot^(-1)1/x (c) tan^(-1)x (d) none of these

Prove that : (sec 8theta - 1)/(sec 4theta - 1) = (tan 8theta)/(tan 2theta)

8 cot^2A-8 cosec^2A is equal to a) 8 b) 1/8 c) -8 d) - 1/8

1+tan A tan2A=sec2A

If cos x-(cot beta sinx )/( 2 )=sqrt(3)/(2) , then the value of tan""(x)/(2) is A. tan""(beta)/(2) tan 15^(@) B. tan""(beta)/(2) C. tan 15^(@) D. None of these

RD SHARMA ENGLISH-TRIGONOMETRIC RATIOS OF MULTIPLE AND SUBMULTIPLE ANGLES-All Questions
  1. If tantheta= t, then tan2theta+sec2theta is equal to (a) (1+t)...

    Text Solution

    |

  2. Prove that: "cot"pi/(24)=sqrt(2)+sqrt(3)+sqrt(4)+sqrt(6)

    Text Solution

    |

  3. (sec8A-1)/(sec4A-1) is equal to (A) (tan2A)/(tan8A) (B) (tan8A)/(t...

    Text Solution

    |

  4. If A=2sin^2theta-cos2theta,t h e nA lies in the interval (a) [-1,3] (...

    Text Solution

    |

  5. Prove that (tan3x)/(tanx) never lies between 1/3a n d3 .

    Text Solution

    |

  6. The value of (cot (x/2)-t a n (x/2))^2(1-2tanxcot2x) is (a)1 (b) 2 (c)...

    Text Solution

    |

  7. Prove that cos^3A+cos^3(120^0+A)+cos^3(240^0+A)=3/4cos3A

    Text Solution

    |

  8. Simplify 2sin^2beta+4cos(alpha+beta)sinalphasinbeta+cos2(alpha+beta)

    Text Solution

    |

  9. Prove that: "tan"pi/(16)=sqrt(4+2sqrt(2))-(sqrt(2)+1)

    Text Solution

    |

  10. Prove that: "tan"142""(1^0)/2=2+sqrt(2)-sqrt(3)-sqrt(6)

    Text Solution

    |

  11. Prove that:(sec8theta-1)/(sec4theta-1)=(tan8theta)/(tan2theta)

    Text Solution

    |

  12. Prove that: (cosA+cosB)^2+(sinA-sinB)^2=4cos^2((A+B)/2) .

    Text Solution

    |

  13. Prove that: (1+cos. (pi)/8)(1+cos. (3pi)/8)(1+cos. (5pi)/8)(1+cos. (7...

    Text Solution

    |

  14. If sinA=3/5, where 0^0ltAlt90^0 , then find the values of sin2A , cos2...

    Text Solution

    |

  15. Prove that: sin(pi/10) sin((13pi)/10)=-1/4

    Text Solution

    |

  16. Show that: sqrt(2+sqrt(2+sqrt(2+2cos8theta)))=2costheta,0<theta<pi 8<=...

    Text Solution

    |

  17. If tanalpha=1/7,sinbeta=1/(sqrt(10)), prove thatalpha+2beta=pi/4 , whe...

    Text Solution

    |

  18. If tan(pi/4+theta/2)=tan^3(pi/4+alpha/2) then sin(theta)=(sin(alpha)(...

    Text Solution

    |

  19. If sin(theta+alpha)=a, a n dsin(theta+beta)=b , prove that cos2(alpha-...

    Text Solution

    |

  20. Prove that: t a nalpha+2tan2alpha+4tan4alpha+8cot8alpha=cotalpha

    Text Solution

    |