Home
Class 11
MATHS
If t a n(pi//4+theta)+t a n(pi//4-theta)...

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

Text Solution

AI Generated Solution

Promotional Banner

Topper's Solved these Questions

  • TRIGONOMETRIC FUNCTIONS

    RD SHARMA ENGLISH|Exercise All Questions|166 Videos

  • TRIGONOMETRIC RATIOS OF MULTIPLE AND SUBMULTIPLE ANGLES

    RD SHARMA ENGLISH|Exercise All Questions|196 Videos

Similar Questions

Explore conceptually related problems

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

Prove that: cos^2(pi/4-theta)-sin^2(pi/4-theta)=sin2theta

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

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

sec(pi/4+theta)sec(pi/4-theta)=2sec2theta

If tan^(-1)(cottheta)=2\ theta , then theta= (a) +-pi/3 (b) +-pi/4 (c) +-pi/6 (d) none of these

Show that tan{(2n+1)pi+theta}+tan{(2n+1)pi-theta}=0

If costheta=4/5a n d\ theta is acute, find the t a n2theta

If A=2sin^2theta-cos2theta, t h e n A lies in the interval (a) [-1,3] (b) [1,2] (c) [-2,4] (d) none of these

Prove that cosec(pi/4+theta/2)cosec(pi/4-theta/2)=2sec theta

RD SHARMA ENGLISH-TRIGONOMETRIC RATIOS OF COMPOUND ANGLES-All Questions
  1. If alpha a n d beta are the solutions of the equation at a ntheta+bs e...

    Text Solution

    |

  2. If (sin(x+y))/(sin(x-y))=(a+b)/(a-b) , show that (tanx)/(tany)=a/b .

    Text Solution

    |

  3. If t a n(pi//4+theta)+t a n(pi//4-theta)=a , then t a n^2(pi//4+theta...

    Text Solution

    |

  4. If t a n x+tan(x+pi/3)+tan(x+(2pi)/3)=3, then prove that (3tanx-t a n^...

    Text Solution

    |

  5. If theta lies in the first quadrant and costheta=8/(17) , then prove t...

    Text Solution

    |

  6. If tan(A-B)=1,sec(A+B)=2/(sqrt(3)) , then the smallest positive value ...

    Text Solution

    |

  7. If t a nbeta=(nsinalphacosalpha)/(1-nsin^2alpha) , show that tan(alph...

    Text Solution

    |

  8. If A+B=pi/4 , prove that: (1+t a n A)(1+t a n B)=2 (cotA-1)(cot...

    Text Solution

    |

  9. Prove that: cotthetacot2theta+cot2thetacot3theta+2=cottheta(cottheta-c...

    Text Solution

    |

  10. If tan(alpha+theta)=ntan(alpha-theta) , show that (n+1)sin2theta=(n-1...

    Text Solution

    |

  11. Prove that: (sin(B-C))/(cosBcosC)+(sin(C-A))/(cosCcosA)+(sin(A-B))/(co...

    Text Solution

    |

  12. If tan( pi cos theta) = cot ( pi sin theta) then sin (theta + pi/4) e...

    Text Solution

    |

  13. Find the values of the following: sin75^0 (ii) cos75^0 (iii) sin15^0...

    Text Solution

    |

  14. If cotalpha=1/2,secbeta=-5/3,where piltalphalt(3pi)/2and pi/2 ltbetalt...

    Text Solution

    |

  15. If sin A=3/5,0<A<pi/2a n dcosB=(-12)/(13),0<B<(3pi)/2, find the follow...

    Text Solution

    |

  16. Prove that: (sinx)/(cos3x)+(sin3x)/(cos9x)+(sin9x)/(cos27 x)=(1/2)(ta...

    Text Solution

    |

  17. Prove that: 1/(cos(x-a)cos(x-b))=(tan(x-b)-"tan"(x-a))/(sin(a-b))

    Text Solution

    |

  18. If sin(picostheta)=cos(pi sintheta),t h e n sin2theta=

    Text Solution

    |

  19. If at a nalpha+bt a nbeta=(a+b)tan((alpha+beta)/2) , where alpha!=beta...

    Text Solution

    |

  20. Prove that: 1/(sin(x-a)sin(x-b))=(cot(x-a)-"cot"(x-b))/(sin(a-b))

    Text Solution

    |