Home
Class 11
MATHS
If tan(pi//4+theta)+""tan(pi//4-theta)=l...

If `tan(pi//4+theta)+""tan(pi//4-theta)=lambdasec2theta,t h e nlambda= (a)`3` (b) `4` (c) `1` (d)`2`

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

tan(pi/4+theta)-tan(pi/4-theta)=2tan2theta

Prove that: tan(pi/4+theta)+tan(pi/4-theta)=2sec2theta .

tantheta+tan(pi/3+theta)+tan((2pi)/(3)+theta)=3

If t a n(pi//4+theta)+t a n(pi//4-theta)=a , then t a n^2(pi//4+theta)+t a n^2(pi//4-theta) = (a) a^2+1 (b) a^2+2 (c) a^2-2 (d) none of these

If costheta=1/2(a+1/a),cos3theta=lambda(a^3+1/(a^3)), t h e nlambda= (a) -1/4 (b) 1/4 (c) 1 (d) none of these

Solve: tan4 theta = tan2theta

Solve: tan4theta=-cot(pi/6+theta)

Solve tan theta tan 4theta=1 for 0 lt theta lt pi .

Solve : tan ((pi)/(4)+ theta) + tan ((pi)/(4) - theta) = 4

If tan( pi cos theta) = cot ( pi sin theta) then sin (theta + pi/4) equals

RD SHARMA ENGLISH-TRIGONOMETRIC RATIOS OF MULTIPLE AND SUBMULTIPLE ANGLES-All Questions
  1. The value of cos^4theta+sin^4theta-6cos^2theta is (a) cos2theta (b) s...

    Text Solution

    |

  2. Prove that: sin(pi/10)+sin((13pi)/10)=-1/2

    Text Solution

    |

  3. If tan(pi//4+theta)+""tan(pi//4-theta)=lambdasec2theta,t h e nlambda= ...

    Text Solution

    |

  4. Prove that: (1+cos4x)/(cot x-tanx)=1/2sin4x

    Text Solution

    |

  5. Prove that: (cos7x-cos8x)/(1+2cos5x)=cos2x-cos3x

    Text Solution

    |

  6. To prove (cos5x+cos4x)/(1-2cos3x)=-cos2x-cosx

    Text Solution

    |

  7. If tantheta= t, then tan2theta+sec2theta is equal to (a) (1+t)...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |