Home
Class 10
MATHS
If 3cot A=4, check whether (1-tan^2A)/(1...

If `3cot A=4`, check whether `(1-tan^2A)/(1+tan^2A)=cos^2A-sin^2A`or not.

Text Solution

Verified by Experts

The correct Answer is:
yes
Promotional Banner

Topper's Solved these Questions

  • INTRODUCTION TO TRIGONOMETRY

    NAGEEN PRAKASHAN|Exercise Revision Exercise Long Answer Questions|5 Videos

  • INTRODUCTION TO TRIGONOMETRY

    NAGEEN PRAKASHAN|Exercise Revision Exercise Very Short Answer Questions|38 Videos

  • CONSTRUCTIONS

    NAGEEN PRAKASHAN|Exercise PROBLEMS FROM NCERT/ EXEMPLAR|10 Videos

  • LINEAR EQUATIONS IN TWO VARIABLES

    NAGEEN PRAKASHAN|Exercise Revision Exercise Long Answer Questions|8 Videos

Similar Questions

Explore conceptually related problems

If quad 3cot A=4 check whether (1-tan^(2)A)/(1+tan^(2)A)=cos^(2)A-sin^(2)A or not.

(1 + tan A) / (1-tan A) = (cos2A) / (1-sin2A)

If 3cot theta=4 then show that (1-tan^(2)theta)/(1+tan^(2)theta)=(cos^(2)theta-sin^(2)theta)

((1+tan^(2)A)cot A)/(cos ec^(2)A)=tan A

(sec^2A)/(cos^2A)-(tan^2A)/(cot^2A)=1+2tan^2A

Prove that: (tan A)/(1+tan^2A)^2 + (cot A)/(1+cot^2A)^2 = sin A cos A .

Prove :sin^(2)A cot^(2)A+cos^(2)A tan^(2)A=1

Solve cot theta = sin 2 theta by substituting sin 2 theta =( 2 tan theta )/( 1+tan^(2) theta ) and again by substituting sin 2 theta = 2 sin theta * cos theta and check whether the two answer are same or not .

Prove that (1+(1)/(tan^(2)A))(1+(1)/(cot^(2)A))=(1)/((sin^(2)A- sin^(4)A)).

cot(A+15^(*))-tan(A-15^(*))-(4cos2A)/(1+2sin2A)

NAGEEN PRAKASHAN-INTRODUCTION TO TRIGONOMETRY-Revision Exercise Short Answer Questions
  1. If 3cot A=4, check whether (1-tan^2A)/(1+tan^2A)=cos^2A-sin^2Aor not.

    Text Solution

    |

  2. In DeltaABC,angleC=90^(@)andtanA=(1)/(sqrt(3)),find the value of sin A...

    Text Solution

    |

  3. If "cosec"theta=2, show that (cottheta+(sintheta)/(1+costheta))=2.

    Text Solution

    |

  4. If sintheta=0.8,show that 5sintheta-3tantheta=0.

    Text Solution

    |

  5. If costheta=(8)/(17),verify that (3-4sin^(2)theta)/(4cos^(2)theta-3)=(...

    Text Solution

    |

  6. If sintheta=(3)/(5),verify that (tantheta)/(1+tan^(2)theta)=sinthetaco...

    Text Solution

    |

  7. If cottheta=(b)/(a),show that (asintheta-bcostheta)/(asintheta+bcosthe...

    Text Solution

    |

  8. find the value of sin60^@cos3 0^@+sin3 0^@cos6 0^@

    Text Solution

    |

  9. Verify that : sin 60^@ = 2 sin 30^@ cos 30^@

    Text Solution

    |

  10. If A=30^(@),verify that cos2A=cos^(2)A-sin^(2)A.

    Text Solution

    |

  11. if A= 45^o then verify sin2A=2sinAcosA , cos2A=1-sin^2A

    Text Solution

    |

  12. Using the formula cos A =sqrt((1+cos2A)/(2)), find the value of cos30^...

    Text Solution

    |

  13. In the adjoining figure , DeltaABC is a right - angled triangle , righ...

    Text Solution

    |

  14. If sin(A-B)=1/2,""""cos(A+B)=1/2, 0o<A+Blt=90o,""""A > B , find A and ...

    Text Solution

    |

  15. Find the value of sin30^(@) geometrically.

    Text Solution

    |

  16. Find the value of sin60^(@) geometrically.

    Text Solution

    |

  17. Prove that sqrt(sec^(2)theta + cosec^(2)theta) = tantheta + cottheta.

    Text Solution

    |

  18. Prove that : sqrt((1+costheta)/(1-costheta))="cosec"theta+cottheta

    Text Solution

    |

  19. sqrt((1+sintheta)/(1-sintheta))+sqrt((1-sintheta)/(1+sintheta)) is equ...

    Text Solution

    |

  20. Prove that : tan^(2)theta-sin^(2)theta=tan^(2)thetasin^(2)theta

    Text Solution

    |