Home
Class 10
MATHS
If sinA =cosB, then show that A+B=90....

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

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 angleA and angle B are acute such that cosA=cosB,then show that angleA=angleB

If 2 tan A = 3 tan B.show that tan (A - B)= (sin2B)/(5-cos2B)

If the point P(x,y) is equidistant from the two points A(a,b) and B(b,a),then show that x=y.

If tanA=cotB,prove that A+B=90^@

If two parallel tangents drawn to a circle with centre O are intersected at the points D and E respectively by a tangent drawn at another point on the circle,then show that angleDOE=90^@

If a, b, c are in A.P. then show that the terms given below are also in A.P. b + c, c + a, a + b

If a,b,c are in G.P then show that a(b^2+c^2)=c(a^2+b^2)

If a,b,c are in G.P then show that a(b^2-c^2)=c(a^2-b^2)

If a,b,c,d are in G.P then show that (b-c)^2+(c-a)^2+(d-b)^2=(a-d)^2 .

If cosC=(sinB)/(2sinA) ,show that /_\ABC is isoscles.

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

    |