Home
Class 10
MATHS
If angle P + angle Q = 90^@ then show th...

If `angle P + angle Q = 90^@` then show that `sqrt(sin P)/(cos Q)-sin P cos Q = cos2 P`.

Promotional Banner

Topper's Solved these Questions

  • Quadratic Surds

    UNITED BOOK HOUSE|Exercise Exercise |30 Videos

  • QUESTION PAPER 2017

    UNITED BOOK HOUSE|Exercise Exercise |55 Videos

Similar Questions

Explore conceptually related problems

If angle A and angle P are acute angles such that sin A =sin P then prove that angle A =angle P

If the pth , qth and rth terms of an A.P. be P, Q and R respectively then show that, p(Q-R) + q(R-P) + r(P-Q) = 0 .

If p sin(alpha + x) = q sin(alpha + y),"show that", tan alpha=(q sin y -p sinx)/(p cos x - q cos y).

In a triangle PQR with right angle at Q , the value of angle P is x, PQ = 7cm and QR 24 cm , then find sin x and cos x

Show that DeltaH = q//p .

If alpha,beta,gamma are in A.P. show that cot beta=(sin alpha-sin gamma)/(cos gamma-cos alpha)

The resultant of two forces P and Q is 5 sqrt(P^2+Q^2) when the angle between them is alpha . When the angle changes to (90^@-alpha) , the resultant becomes 3sqrt(P^2+Q^2) . Show that, tan alpha =1/3 .

The product of the sines of the angles of a triangle is p and the product of their cosines is qdot Show that the tangents of the angles are the roots of the equation q x^3-p x^2+(1+q)x-p=0.

If p sin (alpha+ beta)= cos (alpha-beta) , then show that (1)/(1- p sin2 alpha)+(1)/(1-p sin 2 beta)=(2)/(1-p^(2)) .

Prove that q^^~p -=~ (q to p)

UNITED BOOK HOUSE-QUESTION PAPER 2019-Exercise
  1. If the price of 1 dozen pen is reduced by ₨. 6, then 3 more pens will ...

    Text Solution

    |

  2. Answer any One question : Simplify : (4sqrt3)/(2-sqrt2)-(30)/(4sqrt3-...

    Text Solution

    |

  3. If ((1)/(x)-(1)/(y))prop1/(x-y),then show that (x^2 + y^2)propxy.

    Text Solution

    |

  4. Answer any One question : If (3x - 2y) : (x + 3y) = 5 : 6, then find ...

    Text Solution

    |

  5. If b+c-a/x+y-x = c+a-b/c+x-y = a+bc/x+y-z, then prove that a/x = b/y =...

    Text Solution

    |

  6. Answer any One question : prove that semicirular angle is a right ang...

    Text Solution

    |

  7. If two circles touch each other externally then the point of contact w...

    Text Solution

    |

  8. Answer any One question : If a quadrilateral ABCD is circumscribed ab...

    Text Solution

    |

  9. If in ABC,A is right angle and BP and CQ are two medians, then prove t...

    Text Solution

    |

  10. Answer any One question : Draw a triangle ABC of which BC = 7 cm, AB ...

    Text Solution

    |

  11. Answer any One queation : Construct two circles of radii 4 cm and 2 c...

    Text Solution

    |

  12. Answer any Two questions : In triangle ABC angle C = 90^@, If BC = m ...

    Text Solution

    |

  13. Find the value of 1^3

    Text Solution

    |

  14. If angle P + angle Q = 90^@ then show that sqrt(sin P)/(cos Q)-sin P c...

    Text Solution

    |

  15. Answer any One question : From a quay of a river, 600 metres wide, tw...

    Text Solution

    |

  16. The length of the flag post at the roof of a three storied building is...

    Text Solution

    |

  17. Answer any two questions : If 64 buckets of water is withdrawn from a ...

    Text Solution

    |

  18. The diameter of cross-section of a wire is reduced by 50%. If the volu...

    Text Solution

    |

  19. 77 sq m tripal is required to make a right circular conical tent. If t...

    Text Solution

    |

  20. Answer any two questions : If the arithmetic mean of the following fre...

    Text Solution

    |