Home
Class 10
MATHS
if A= 45^o then verify sin2A=2sinAcosA ...

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

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 A=45^(@) then verify sin2A=2sin AcosAcos2A=1-sin^(2)A

2sin45cos45

If A=45^(@) , verify that (i) sin2A=2sinAcosA (ii) cos2A=2cos^(2)A-1=1-2sin^(2)A

If A= 45^(@) , verify that: (i) sin 2A=2 sin A cos A (ii) cos 2A= cos^(2)A-"sin"^(2)A .

Prove that (1)sin2A=2sin A cos A(2)cos2A=cos^(2)A-sin^(2)A

(sin A + cos A)^2 = 1 + sin2A

If A + B + C = pi, show that | (sin ^ 2A, sinAcosA, cos ^ 2A), (sin ^ 2B, sinBcosB, cos ^ 2B), (sin ^ 2C, sinCcosC, cos ^ 2C) | = - sin (AB) sin (BC) sin (CA)

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

NAGEEN PRAKASHAN-INTRODUCTION TO TRIGONOMETRY-Revision Exercise Short Answer Questions
  1. Verify that : sin 60^@ = 2 sin 30^@ cos 30^@

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  13. Prove that : (tanA+sinA)/(tanA-sinA)=(secA+1)/(secA-1)

    Text Solution

    |

  14. Prove that : sin^(2)Acos^(2)B-cos^(2)Asin^(2)B=sin^(2)A-sin^(2)B

    Text Solution

    |

  15. Prove that : sin^(2)theta+cos^(4)theta=cos^(2)theta+sin^(4)theta

    Text Solution

    |

  16. Prove that : sin^(2)theta+(1)/(1+tan^(2)theta)=1

    Text Solution

    |

  17. Prove that : (1-costheta)(1+costheta)(1+cot^(2)theta)=1

    Text Solution

    |

  18. Prove that : (tan^(2)theta)/(1+tan^(2)theta)+(cot^(2)theta)/(1+cot^...

    Text Solution

    |

  19. If tan3A=cot(A-10^(@)) where 3A is an angle , find A.

    Text Solution

    |

  20. If cos5A=sin(A-30^(@)) where 5A is an acute angle , find A.

    Text Solution

    |