Home
Class 10
MATHS
If a cos theta + b sin theta = p and asi...

If `a cos theta + b sin theta = p` and `asin theta - bcos theta = q`, then the relation between a, b, p and q is____

A

`a^2 - b^2 = p^2 - q^2`

B

`a^2 + b^2 = p^2 + q^2`

C

`a + b = p^2 + q^2`

D

a + b = p + q

Text Solution

Verified by Experts

Promotional Banner

Topper's Solved these Questions

  • Theorems related to Tangent to a Circle

    UNITED BOOK HOUSE|Exercise Exercise |29 Videos

  • Trigonometric Ratios of Complementry Angle

    UNITED BOOK HOUSE|Exercise Exercise |30 Videos

Similar Questions

Explore conceptually related problems

If a sin theta+ b cos theta=0 ,then find theta

If sin theta = cos theta then 2 theta =

If sin theta = cos theta , what is sin theta - cos theta = ?

If sin2 theta = cos 3 theta then theta =

If cos theta + sin theta = sqrt2 cos theta , then cos theta - sin theta is___

Fill in the blanks If x cosec theta = 1 and y cot theta = 1 then the relation between x and y without theta is____.

If x= arcos theta cos alpha,y =br cos theta sin alpha,z = cr sin theta , then find the relation between x,y,z independent of theta,alpha .

If (sin theta+cos theta)/(sin theta-cos theta)=7 , then the value of tan theta .

If a cos theta+b sin theta = c then show that a sin theta- b cos theta= +- sqrt(a^2+b^2-c^2)

UNITED BOOK HOUSE-Trigonometric Rations and Trigonometric Identities-Exercise
  1. If 2 sin ((pi)/(2)) = x^2 + (1)/(x^2) = , then the value of (x - (1)/(...

    Text Solution

    |

  2. If A=sin^2theta+cos^4theta then for all real values of theta

    Text Solution

    |

  3. If cos 0 = x^2 - x + 5/4, the value of x will be

    Text Solution

    |

  4. In triangleABC, angleB = 90^@ and AB : BC = 2 : 1. The value of sin A ...

    Text Solution

    |

  5. If cos theta + sin theta = sqrt2 cos theta, then cos theta - sin theta...

    Text Solution

    |

  6. If cos^4 theta - sin^4 theta = 2/3, then the value of (1 - 2 sin^2 the...

    Text Solution

    |

  7. If (cosalpha)/(cosbeta) = a and (sinalpha)/(sinbeta) = b, then the val...

    Text Solution

    |

  8. If theta is an acute angle and tan theta + cot theta = 2, then the val...

    Text Solution

    |

  9. If (2 tan^2 30^@)/(1 - tan^2 30^@) + sec^2 45^@ - sec^2 0^@ = x sec 60...

    Text Solution

    |

  10. Which one of the following is true for 0^@ < theta < 90^@?

    Text Solution

    |

  11. If cos^2 alpha - sin^2 alpha = tan^2 beta, then the value of (cos^2 be...

    Text Solution

    |

  12. For any values of sqrt frac(sec theta - 1)(sec theta + 1) = ?

    Text Solution

    |

  13. If 0^@ < A < 90^@, then the value of tan^2 A + cot^2 A - sec^2 A cosec...

    Text Solution

    |

  14. The vlaue of (2sin^3 theta - sin theta)/(costheta - 2 cos^3 theta) is ...

    Text Solution

    |

  15. If r sin theta =7/2 and r costheta = (7sqrt3)/(2) then value of r is

    Text Solution

    |

  16. If theta + emptyset = (Pi)/(2) and sin theta = 1/2 then the value of s...

    Text Solution

    |

  17. If a cos theta + b sin theta = p and asin theta - bcos theta = q, then...

    Text Solution

    |

  18. If theta = 60^@, then 1/2 sqrt1 + sin theta + 1/2 sqrt1 -sin theta is ...

    Text Solution

    |

  19. sin A + cos B = 2 then tan((A + B)/(2)) equals

    Text Solution

    |

  20. If cos^4 theta + cos^2 theta = 1 then the value of (tan^4 theta + tan^...

    Text Solution

    |