Home
Class 10
MATHS
.If alpha+beta=90^(@), show that sqrt(co...

.If` alpha+beta=90^(@),` show that `sqrt(cos alpha*csc beta-cos alpha*sin beta)`=`sin alpha`

Promotional Banner

Topper's Solved these Questions

  • INTRODUCTION TO TRIGONOMETRY

    VK GLOBAL PUBLICATION|Exercise PROFICIENCY EXERCISE (LONG ANSWER QUESTIONS)|13 Videos

  • INTRODUCTION TO TRIGONOMETRY

    VK GLOBAL PUBLICATION|Exercise SELF - ASSESSMENT TEST|9 Videos

  • INTRODUCTION TO TRIGONOMETRY

    VK GLOBAL PUBLICATION|Exercise PROFICIENCY EXERCISE (SHORT ANSWER QUESTIONS-I)|6 Videos

  • HEIGHT AND DISTANCE

    VK GLOBAL PUBLICATION|Exercise SELF ASSESSMENT TEST|11 Videos

  • MID TERM TEST PAPER

    VK GLOBAL PUBLICATION|Exercise SECTION -D|7 Videos

Similar Questions

Explore conceptually related problems

If cos(alpha-beta)+1=0, show that cos alpha+cos beta=0 and sin alpha+sin beta=0

(sinalpha cos beta+cos alpha sin beta)^2+(cos alpha cos beta-sin alpha sin beta)^2=1

If (alpha+beta+gamma+delta)=pi then sum cos alpha cos beta-sum sin alpha sin beta=

cos(alpha-beta)+cos(beta-gamma)+cos(gamma-alpha)=-(3)/(2), prove that cos alpha+cos beta+cos gamma=sin alpha+sin beta+sin gamma=0

Evaluate: quad =|cos alpha cos beta cos alpha sin beta-sin alpha-sin beta cos beta0sin alpha cos beta sin alpha sin beta cos alpha|

If cos alpha+cos beta=0=sin alpha+sin beta, then prove that cos2 alpha+cos2 beta=-2cos(alpha+beta)

If cos alpha+cos beta=0=sin alpha+sin beta, then prove that cos2 alpha+cos2 beta=-2cos(alpha+beta)

Evaluate ,,,|cos alpha cos beta,cos alpha sin beta,-sin alpha-sin beta,cos beta,0sin alpha,cos beta,sin alpha sin beta,cos alpha]|

det[[cos alpha cos beta,cos alpha sin beta,-sin alpha-sin beta,cos beta,0sin alpha cos beta,sin alpha sin beta,cos alpha]]

VK GLOBAL PUBLICATION-INTRODUCTION TO TRIGONOMETRY-PROFICIENCY EXERCISE (SHORT ANSWER QUESTIONS-II)
  1. Prove : ( 1+ tan^2 theta )(1 + sin theta )(1 - sin theta) = 1.

    Text Solution

    |

  2. If sin theta+cos theta=sqrt3, then prove that tan theta+cot theta=1

    Text Solution

    |

  3. .If alpha+beta=90^(@), show that sqrt(cos alpha*csc beta-cos alpha*sin...

    Text Solution

    |

  4. If tan theta =a/b, prove that (a sin theta- b cos theta)/(a sin theta+...

    Text Solution

    |

  5. If sectheta=5/4 , find the value of (sintheta-2costheta)/(tantheta-...

    Text Solution

    |

  6. If theta=30o , verify that: (i) tan2theta=(2tantheta)/(1-tan^2theta...

    Text Solution

    |

  7. If theta=30o , verify that: (i) cos2theta=(1-tan^2theta)/(1+tan^2th...

    Text Solution

    |

  8. If A = 30^(@) and B = 60^(@) , verify that cos (A + B) = cos A cos B -...

    Text Solution

    |

  9. If A = 30^(@) and B = 60^(@), verify that sin (A + B) = sin A cos B + ...

    Text Solution

    |

  10. If cottheta=(15)/8,t h e ne v a l u a t e((2+2sintheta)(1-sintheta)/((...

    Text Solution

    |

  11. If sectheta=x+1/(4x),p rov et h a t :sectheta+tantheta=2xor ,1/(2x)

    Text Solution

    |

  12. If sqrt(3) tan theta=3 sin theta and theta!=0 then find the value of s...

    Text Solution

    |

  13. If cos e c\ theta=(13)/(12) , find the value of (2sintheta-3\ cos\ ...

    Text Solution

    |

  14. If sintheta=(a^2-b^2)/(a^2+b^2) then find 1+tantheta*costheta.

    Text Solution

    |

  15. If costheta +sin theta= sqrt(2)cos theta, then prove that costheta-sin...

    Text Solution

    |

  16. Find the value of x sqrt(3) sin x = cos x

    Text Solution

    |

  17. If tan x = sin45^(@) cos 45^(@) + sin 30^(@) then x is equal to

    Text Solution

    |

  18. sin^(6)theta+cos^(6)theta+3sin^(2)theta cos^(2)theta=1

    Text Solution

    |

  19. tantheta+tan(9 0^(@)-theta)=secthetaxxsec(9 0^(@)-theta)

    Text Solution

    |

  20. Prove that : tan^(4)theta + tan^(2)theta = sec^(4)theta - sec^(2) th...

    Text Solution

    |