Home
Class 10
MATHS
If (1+4x^(2))cosA=4x, then show that "...

If `(1+4x^(2))cosA=4x,` then show that `"cosec"A+cotA=(1+2x)/(1-2x)`.

Promotional Banner

Topper's Solved these Questions

  • TRIGONOMETRIC RATIOS AND TRIGONOMETRIC IDENTITIES

    CALCUTTA BOOK HOUSE|Exercise EXERCISE|66 Videos

  • THEOREMS RELATED TO TANGENT IN A CIRCLE

    CALCUTTA BOOK HOUSE|Exercise EXERCISE 4.2|23 Videos

  • TRIGONOMETRIC RATIOS OF COMPLEMENTARY ANGLES

    CALCUTTA BOOK HOUSE|Exercise EXERCISE|28 Videos

Similar Questions

Explore conceptually related problems

If f(x)=(4^x)/(4^x+2), then show that f(x)+f(1-x) =1.

If 4xsec A =1+4x^2 , prove that, sec A +tan A=2xor,1/(2x).

If y = (Sin ^-1 x)^2 + (cos^-1 x)^2 , then show that (1-x^2) y _2 - xy_1 = 4

tan^(2)x = 3"cosec"^(2)x-1

If x + frac(1)(x) = 4 then let's show that x^2 + frac(1)(x^2) = 14 and x^4 + frac(1)(x^4) = 194

If sin^4x+sin^2x=1 show that, cot^4x+cot^2x=1

if sin^4x+sin^2x=1 ,then prove that cot^4x+cot^2x =1.

If g(x) = 1/x^2 , show that , g(x) - g(x + 1) = (2x + 1)/(x^2 (x + 1)^2) .

2 tan ^(-1) (Cos x) = tan ^(-1) (2 "cosec"x)

If y^2 (1-x^2) = x^2 +1 , show that (1-x^4) (dy/dx)^2 = y^4 -1 .

CALCUTTA BOOK HOUSE-TRIGONOMETRIC RATIOS AND TRIGONOMETRIC IDENTITIES -EXERCISE
  1. If (1+4x^(2))cosA=4x, then show that "cosec"A+cotA=(1+2x)/(1-2x).

    Text Solution

    |

  2. If tan theta=(p)/(q), what is the value of (p sec theta-q " cosec" t...

    Text Solution

    |

  3. In DeltaABC, right angled at B, AB:AC=1:sqrt(2), then (2 tan A)/(1-ta...

    Text Solution

    |

  4. (sin30^(@)cos45^(@))/(tan 60^(@)) is equal to

    Text Solution

    |

  5. In DeltaABC, If angleC=90^(@), angleA=60^(@) and AB=40 cm, then AC is ...

    Text Solution

    |

  6. Write true of false : cot theta=(cos theta)/(sin theta)

    Text Solution

    |

  7. Write true of false : sin theta is a product of sin and theta.

    Text Solution

    |

  8. Fill in the blanks : The trigonometric ratio cos theta= ul(" ...

    Text Solution

    |

  9. Fill in the blanks : The value of sin theta can never be greate th...

    Text Solution

    |

  10. Fill in the blanks : The value of cot 0^(@) is not .

    Text Solution

    |

  11. Find the value of cos(-1170^(@)).

    Text Solution

    |

  12. Calculate the value of sec(-1680^(@)) sin 330^(@).

    Text Solution

    |

  13. Simplify : sin 300^(@) cos 390^(@) tan (-855^(@))+cos(-120^(@))* sin ...

    Text Solution

    |

  14. Prove that tan 225^(@) cot 405^(@)+tan 765^(@) cot 675^(@)=0.

    Text Solution

    |

  15. Evalute : "sin"^(2)(pi)/(4) + "cos"^(2) (3pi)/(4)+"cos"^(2)(5pi)/(4)...

    Text Solution

    |

  16. Prove that "tan"(pi)/(12) "tan"(pi)/(16) "tan"(5pi)/(12)"tan"(7pi)/(1...

    Text Solution

    |

  17. If tan 35^(@)=x, then prove that (tan 145^(@)- tan 125^(@))/(1+tan14...

    Text Solution

    |

  18. Find the value of sin^(3)60^(@) cot 30^(@)-2 sec^(2) 45^(@)+3 cos60^(@...

    Text Solution

    |

  19. If (cos theta)/(1-sin theta)-(costheta)/(1+sin theta)=2, then find the...

    Text Solution

    |

  20. If (cos x)/(cosy)=n and (sinx)/(siny)=m, what is the value of (m^(2)...

    Text Solution

    |

  21. If x cos 60^(@)+y cos0^(@)=3 and 4x sin 30^(@) -y cot 45^(@)=2, then ...

    Text Solution

    |