Home
Class 10
MATHS
If A +B = 90, prove that (cos A + cos ...

If `A +B = 90`, prove that
`(cos A + cos B)/(sin A+ sinB)=1`.

Promotional Banner

Topper's Solved these Questions

  • COMPLEMENTARY ANGLES AND THEIR TRIGONOMETRIC RATIOS

    KALYANI PUBLICATION|Exercise EXAMPLE|5 Videos

  • COORDINATE GEOMETRY

    KALYANI PUBLICATION|Exercise EXAMPLE|16 Videos

Similar Questions

Explore conceptually related problems

If A +B = 90 , prove that cos A = sqrt (cos A/sin B - sin A cos B) .

If A +B = 90 , prove that (tan A + cosec B)^2=(1+sin A)/(1- cos B) .

If A +B = 90 , prove that (sin A- sin B)^2 = 1-2 sin A cos A .

If A + B + C = pi , prove that cos A + cos B + cos C= 1 + 4 sin(A/2) sin(B/2) sin(C/2)

If A +B = 90 , prove that 1+ tan A/tan B + sin^2 A+ sin^2 B = 1+ sec^2 A .

If A=60⁰ and B=30⁰ , verify that cos(A+B)=cos A cos B-sin A sin B

If A=60⁰ and B=30⁰ , verify that cos (A-B)=cos A cos B+sin A sin B

If A + B + C= pi , prove that sin 2A + sin 2B -sin 2C =4cos A cos B sin C

if A + B +C= pi/2 ,prove that cos(A - B - C)+ cos (B-C- A) + cos (C- A - B)= 4 cos A cos B cos C

Prove that cos 4A=1-8cos^2A+8 cos^4A

KALYANI PUBLICATION-Complementary Angles and there Trigonamytry Ratios-EXERCISE
  1. Prove that: tan 35° tan 40° tan 45° tan 50° tan 55° = 1.

    Text Solution

    |

  2. Prove that: cosec (65° + theta) - sec (25° - theta) - tan (55° - the...

    Text Solution

    |

  3. Prove that: (2 sin 68°)/(cos 22°)-( 2 cot 15°)/( 5 tan 75°)- 3( tan ...

    Text Solution

    |

  4. Prove that: (cos^2 20° + cos^2 70°)/(sin^2 20° + sin^2 70°) +sin^2 6...

    Text Solution

    |

  5. Prove that: (tan 50° + sec 50°)/(cot 40° + cosec 40°) + cos 40° cose...

    Text Solution

    |

  6. In a ∆ ABC prove that sin( (A+B)/2) = COS (c/2).

    Text Solution

    |

  7. In a ∆ ABC prove that cos ((A+B)/2) = sin (c/2).

    Text Solution

    |

  8. In a ∆ ABC prove that tan( (A+B)/2) = cot( C/2).

    Text Solution

    |

  9. In a ∆ ABC prove that sec^2 (B+C)/2 -1=cot^2 A/2.

    Text Solution

    |

  10. If A +B = 90, prove that (cos A + cos B)/(sin A+ sinB)=1.

    Text Solution

    |

  11. If A +B = 90, prove that (tan A + cosec B)^2=(1+sin A)/(1- cos B).

    Text Solution

    |

  12. If A +B = 90, prove that (sin A- sin B)^2 = 1-2 sin A cos A.

    Text Solution

    |

  13. If A +B = 90, prove that cos A = sqrt (cos A/sin B - sin A cos B).

    Text Solution

    |

  14. If A +B = 90, prove that 1+ tan A/tan B + sin^2 A+ sin^2 B = 1+ sec^...

    Text Solution

    |

  15. If sinA =cosB, then show that A+B=90.

    Text Solution

    |

  16. If sintheta +costheta =p and sectheta+cosectheta=q, show that q(p^2 ...

    Text Solution

    |

  17. If sectheta =sqrt(p^2+q^2)/q, then the value of (p sintheta-q costhet...

    Text Solution

    |

  18. Express cos 75° + cot 75° in terms of angle between 0° and 30°.

    Text Solution

    |

  19. Express sin 81° + tan 81° in terms of angle between 0° and 45°.

    Text Solution

    |

  20. Express tan 15° + cos 15° in terms of angle between 45° and 90°.

    Text Solution

    |