Home
Class 11
MATHS
Prove that: s e c^2theta+cos e c^2thetag...

Prove that: `s e c^2theta+cos e c^2thetageq4` .

Text Solution

AI Generated Solution

Promotional Banner

Topper's Solved these Questions

  • TRIGONOMETRIC EQUATIONS

    RD SHARMA ENGLISH|Exercise All Questions|120 Videos
  • TRIGONOMETRIC RATIOS OF COMPOUND ANGLES

    RD SHARMA ENGLISH|Exercise All Questions|149 Videos

Similar Questions

Explore conceptually related problems

Prove that: 2s e c^2theta-s e c^4theta-2cos e c^2theta+cos e c^4theta=(1-t a n^8theta)/(t a n^4theta)

Prove: (sec^2theta-1)(cos e c^2theta-1)=1

P is a point and P Ma n dP N are the perpendicular form Ptoz-xa n dx-y planes. If O P makes angles theta,alpha,betaa n dgamma with the plane O M N and the x-y ,y-za n dz-x planes, respectively, then prove that cos e c^2theta=cos e c^2alpha+cos e c^2beta+cos e c^2gammadot

Prove: cos e c^2theta+sec^2theta=cos e c^2thetasec^2theta

If sintheta=3/4 , prove that sqrt((cos e c^2theta-cot^2theta)/(sec^2theta-1))=(sqrt(7))/3

Prove: cos e c\ thetasqrt(1-cos^2theta)=1

If cottheta=3/4 , prove that sqrt((sectheta-cos e c\ theta)/(sectheta+cos e c\ theta))=1/(sqrt(7))

The number of solution of sec^2theta+cos e c^2theta+2cos e c^2theta=8,0lt=thetalt=pi/2 is 4 (b) 3 (c) 0 (d) 2

If tan^2 theta= 1-e^2 prove that sec theta + tan^3 theta cosec theta = (2-e^2)^(3/2)

If tan theta=1/sqrt7 ,then (c o s e c^2theta-sec^2theta)/(c o s e c^2theta+sec^2theta)=?

RD SHARMA ENGLISH-TRIGONOMETRIC FUNCTIONS-All Questions
  1. If acos theta-b sin theta=c , show that asin theta+b cos theta=+-sqrt(...

    Text Solution

    |

  2. If t a ntheta+sintheta=m and tantheta-sintheta=n , show m^(2)-n^2=4sqr...

    Text Solution

    |

  3. Prove that: s e c^2theta+cos e c^2thetageq4 .

    Text Solution

    |

  4. Given that: (1+cosalpha)(1+cosbeta)(1+cosgamma)=(1-cosalpha)(1-cosbeta...

    Text Solution

    |

  5. Prove that: 3(sintheta-costheta)^4+6(sintheta+costheta)^2+4(sin^6theta...

    Text Solution

    |

  6. Prove that: 2s e c^2theta-s e c^4theta-2cos e c^2theta+cos e c^4theta=...

    Text Solution

    |

  7. If A lies in second quadrant and 3tanA+4=0, then the value of 2cotA-5c...

    Text Solution

    |

  8. Is the following inequality correct? sin1^0> sin1

    Text Solution

    |

  9. If f(x)=cos^2x+s e c^2x ,t h e n (a) f(x)<1 (b) f(x)=1 (c) 2ltf(x)<...

    Text Solution

    |

  10. If sectheta=x+1/(4x), then s e ctheta+t a ntheta= (a) x ,1/x (b) 2x ...

    Text Solution

    |

  11. If s e c^2theta=(4x y)/((x+y)^2) is true if and only if (a)x+y!=0 (b)...

    Text Solution

    |

  12. If cos e ctheta+cottheta=(11)/2 , then t a ntheta= (21)/(22) (b) (15...

    Text Solution

    |

  13. If (3pi)/4 lt alpha lt pi, then sqrt(2cotalpha+1/(sin^2alpha)) is equ...

    Text Solution

    |

  14. If x=rsinthetacosphi,y=rsinthetasinphi and z=rcostheta, then x^2+y^2+...

    Text Solution

    |

  15. If sintheta+costheta=0 and theta lies in the fourth quadrant, find si...

    Text Solution

    |

  16. Prove that: sqrt(1-sintheta)/(1+s intheta)+sqrt((1+sintheta)/(1-s inth...

    Text Solution

    |

  17. Prove that: cos((3pi)/2+x)cos(2pi+x){cot((3pi)/2-x)+"cot"(2pi+x)}=1

    Text Solution

    |

  18. Prove that: (cos(pi+x)cos(-x))/(sin(pi-x)cos(pi/2+x)} =cot^2x

    Text Solution

    |

  19. If x=(2sintheta)/(1+costheta+sintheta) , then prove that (1-costheta+...

    Text Solution

    |

  20. If tanx=(b)/(a), then find the value of sqrt((a+b)/( a-b ))+sqrt((a-b)...

    Text Solution

    |