Home
Class 11
MATHS
If sin x=cos^2x ,\ then write the value...

If `sin x=cos^2x ,\ ` then write the value of `cos^2x\ (1+cos^2x)dot`

Text Solution

Verified by Experts

Given that:-`sinx=cos^2x`
Thus `sinx=1-sin^2x`
`=> sin^2x+sinx=1`---(1)
We need to find value of `cos^2x(1+cos^2x)`
...
Promotional Banner

Topper's Solved these Questions

  • TRIGONOMETRIC EQUATIONS

    RD SHARMA|Exercise Solved Examples And Exercises|120 Videos
  • TRIGONOMETRIC RATIOS OF COMPOUND ANGLES

    RD SHARMA|Exercise Solved Examples And Exercises|149 Videos

Similar Questions

Explore conceptually related problems

If sin (x+y)=cos (x-y), then the value of cos^2x is :

If sin x+sin^(2)x=1 then write the value of cos^(8)x+2cos^(6)x+cos^(4)x

If cos4x=1+k sin^(2)x cos^(2)x, then write the value of k

If sin x + sin^(2)x = 1 , then what is the value of cos^(8)x + 2 cos^(6)x + cos^(4)x ?

If sin x cos x = 1//2 , then what is the value of sin x - cos x ?

If sin x+sin^(2)x=1, then the value of cos^(2)x+cos^(4)x+cot^(4)x-cot^(2)x is

if sin x+sin^(2)x=1, then the value of cos^(2)x+cos^(4)x is

If cos x + cos^2 x = 1 , then what is the value of sin^2 x + sin^4 x ?

RD SHARMA-TRIGONOMETRIC FUNCTIONS-Solved Examples And Exercises
  1. Write the maximum and minimum values of s in\ (s in x)dot

    Text Solution

    |

  2. Write the maximum value of sin(cosx)dot

    Text Solution

    |

  3. If sin x=cos^2x ,\ then write the value of cos^2x\ (1+cos^2x)dot

    Text Solution

    |

  4. If sin x+cosec\ x=2, then write the value of sin^n x+cos e c^n xdot

    Text Solution

    |

  5. If sintheta1+sintheta2+sintheta3=3, then costheta1+costheta2+costheta...

    Text Solution

    |

  6. Write the value of sin 10^0+sin 20^0+sin 30^0+....+sin 360^@

    Text Solution

    |

  7. A circular wire of radius 15cm is cut and bent so as to lie along the ...

    Text Solution

    |

  8. The value for 2(sin^6theta+cos^6theta)-3(sin^4theta+cos^4theta)+1 is

    Text Solution

    |

  9. Write the value of cos1^0+cos2^0+cos3^0++cos 180^0dot

    Text Solution

    |

  10. If cot(alpha+beta)=0\ ,\ then write the value of "sin"(alpha+2beta) .

    Text Solution

    |

  11. If t a n A+cot A=4, then write the value of t a n^4A+cot^4Adot

    Text Solution

    |

  12. Write the least value of cos^2theta+sec^2thetadot

    Text Solution

    |

  13. If x=sin^(14)theta+cos^(20)theta , then write the smallest interval in...

    Text Solution

    |

  14. If 3sintheta+5costheta=5, then write the value of 5sin theta-3costheta...

    Text Solution

    |

  15. If sectheta=x+1/(4x) , then s e ctheta-t a ntheta is equal to -2x ,1/(...

    Text Solution

    |

  16. If pi/2 < theta < (3pi)/2 then sqrt ((1-sin theta)/(1+sin theta))= a....

    Text Solution

    |

  17. If pi lt theta lt 2pi then sqrt ((1+cos theta)/(1-cos theta))= a. co...

    Text Solution

    |

  18. If sec theta= x+1/(4x) then sec theta+ tan theta= a, x, 1/(x), b. 2x, ...

    Text Solution

    |

  19. If pi/2ltthetaltpi, then sqrt((1-sintheta)/(1+sintheta))+sqrt((1+sinth...

    Text Solution

    |

  20. If tan theta+sectheta=sqrt(3),\ 0<theta<pi, then theta is equal to (5p...

    Text Solution

    |