Home
Class 10
MATHS
Prove that : (sinA+cosA)^(2)+(sinA-cosA...

Prove that : `(sinA+cosA)^(2)+(sinA-cosA)^(2)=2`

Promotional Banner

Topper's Solved these Questions

  • INTRODUCTION TO TRIGONOMETRY

    NAGEEN PRAKASHAN|Exercise Exercise 8 D|6 Videos

  • INTRODUCTION TO TRIGONOMETRY

    NAGEEN PRAKASHAN|Exercise Exercise 8 E|16 Videos

  • INTRODUCTION TO TRIGONOMETRY

    NAGEEN PRAKASHAN|Exercise Exercise 8 B|22 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

Prove that: 3(sinA-cosA)^(4)+6(sinA+cosA)^(2)+4(sin^(6)A+cos^(6)A)=13

Prove that: (cosA-cosB)^(2)+(sinA-sinB)^(2)=4sin^(2)(A-B)/(2)

Prove that: (1+sinA-cosA)/(1+sinA+cosA)=tanA/2

Prove that : (1+sinA-cosA)/(1+sinA+cosA)=tan((A)/(2)).

Prove that: (1+sinA-cosA)/(1+sinA+cosA) = tanA/2

(1+sinA-cosA)/(1+sinA+cosA)=

Prove that: (cosA+cosB)^(2)+(sinA+sinB)^(2)=4cos^(2)(A-B)/2

Prove that : (cosA)/(1+sin A) +(1+sinA)/(cosA)=2 sec A

The value of (sin A-cosA)^(2)+ (sinA+cosA)^(2) is _________

NAGEEN PRAKASHAN-INTRODUCTION TO TRIGONOMETRY-Exercise 8 C
  1. Prove that : (sectheta-tantheta)^(2)=(1-sintheta)/(1+sintheta)

    Text Solution

    |

  2. Prove that : sec^(2)theta+"cosec"^(2)theta=sec^(2)theta*"cosec" ^(2)t...

    Text Solution

    |

  3. Prove that : (sinA+cosA)^(2)+(sinA-cosA)^(2)=2

    Text Solution

    |

  4. Prove that : sin^(4)theta-cos^(4)theta=2sin^(2)theta-1

    Text Solution

    |

  5. Prove that : (i) (1-cosA)/(sinA)=(sinA)/(1+cosA) (ii) ...

    Text Solution

    |

  6. Prove that : (1+sintheta)/(costheta)+(costheta)/(1+sintheta)=2secthe...

    Text Solution

    |

  7. Prove that : (1-costheta)/(sintheta)+(sintheta)/(1-costheta)=2"cosec...

    Text Solution

    |

  8. Prove that : (i) (1)/(1-cosA)+(1)/(1+cosA)=2"cosec"^(2)A " " (...

    Text Solution

    |

  9. Prove that : (i) (1)/(sectheta-tantheta)+(1)/(sectheta+tantheta)=2se...

    Text Solution

    |

  10. Prove that : sin^(6)A+cos^(6)A+3sin^(2)Acos^(2)A=1

    Text Solution

    |

  11. Prove that : (1+cottheta+"cosec"theta)(1+cottheta-"cosec"theta)=2cott...

    Text Solution

    |

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

    Text Solution

    |

  13. Prove that : (sinA-cosA)(cotA +tanA)=secA-"cosec"A

    Text Solution

    |

  14. Prove that : (tanA)/(1-cotA)+(cotA)/(1-tanA)=1+secA" cosec"A

    Text Solution

    |

  15. (tanA+secA-1)/(tanA-secA+1)=(1+sinA)/(cosA)

    Text Solution

    |

  16. If tanA+sinA=m and tanA-sinA=n, then prove that m^(2)-n^(2)=4sqrt(mn)...

    Text Solution

    |

  17. If x=acostheta-bsinthetaandy=asintheta+bcostheta, then show that : ...

    Text Solution

    |

  18. (sinA+cosecA)^2+(cosA+secA)^2=7+tan^2A+cot^2A

    Text Solution

    |

  19. Prove that : (1-tanA)^(2)+(1-cotA)^(2)=(secA-"cosec"A)^(2)

    Text Solution

    |

  20. Prove that : (secA-tanA)/(secA+tanA)=1-2secAtanA+2tan^(2)A

    Text Solution

    |