Home
Class 9
MATHS
If cosec A = sqrt3 , find the value of...

If cosec ` A = sqrt3 ` , find the value of:
` (2 sin ^(2)A + 3 cot ^(2) A)/( tan ^(2) A+ cos ^(2)A) `

Text Solution

Verified by Experts

The correct Answer is:
` 40/7 `
Promotional Banner

Topper's Solved these Questions

  • CHAPTER REVISION (STAGE 2)

    ICSE|Exercise CO- ORDINATE GEOMETRY |5 Videos

  • CHAPTER REVISION (STAGE 2)

    ICSE|Exercise GRAPHICAL SOLUTIONS |3 Videos

  • CHAPTER REVISION (STAGE 2)

    ICSE|Exercise SOLIDS |7 Videos

  • AREA THEOREMS

    ICSE|Exercise Exercies 16(C )|22 Videos

  • CHAPTERWISE REVISION (STAGE 1)

    ICSE|Exercise Graphical solution |10 Videos

Similar Questions

Explore conceptually related problems

If cos e c\ A=sqrt(2) , find the value of (2sin^2A+3cot^2A)/(4tan^2A-cos^2A) .

If cos e c\ A=sqrt(2) , find the value of (2sin^2A+3cot^2A)/(4(tan^2A-cos^2A)

If "cosec" theta = sqrt5 , find the value of : 2-sin^2theta - cos^2 theta

If sec A = sqrt2 , find the value of : (3 cos^2 A+5 tan^2A)/(4 tan^2 A - sin^2A)

If cosec theta = sqrt2 , find the value of : (1)/(tan A ) +( sin A)/(1+ cos A)

If 3 cos A = 4 sin A, find the value of : 3 - cot^2A+ "cosec"^2A

If sin A + cosec A = 2, find the value of sin^2 A + "cosec"^2 A .

If 2 cot A =3, find the value of " " ( 5 sin A - 2 cos A)/( 6 cos A + sin A )

If "cosec" theta = sqrt(5) , find the value of (i) 2-sin^(2)theta - cos^(2)theta (ii) 2 + (1)/(sin^(2)theta) - (cos^(2)theta)/(sin^(2)theta)

If 3 sin A = 4 cos A , find the value of : tan^2A-sec^2A

ICSE-CHAPTER REVISION (STAGE 2) -TRIGONOMETRY
  1. Evaluate : (cos 58 ^(@))/(sin 32^(@)) +(sin 22^(@))/(cos 68^(@)) - ...

    Text Solution

    |

  2. Evaluate without using trigonometric tables. 2(("tan" 35^(@))/("cot"...

    Text Solution

    |

  3. Evaluate : sec 26^(@) sin 64^(@) + (cosec 33^(@))/(sec 57^(@))

    Text Solution

    |

  4. Evaluate ( 5 sin 66 ^(@))/( cos 24 ^(@)) -( 2 cot 85^(@))/(tan 5^(@...

    Text Solution

    |

  5. Evaluate cos 40 ^(@) cosec 50 ^(@)+ sin 50 ^(@) sec 40 ^(@)

    Text Solution

    |

  6. Evaluate sin 27 ^(@) sin 63 ^(@) - cos 63^(@) cos 27 ^(@)

    Text Solution

    |

  7. Evaluate : 3(sin 72^(@))/(cos 18^(@))-(sec 32^(@))/(cosec 58^(@))

    Text Solution

    |

  8. Evaluate 3 cos 80 ^(@) cosec 10 ^(@) + 2 cos 59 ^(@) cosec 31 ^(@...

    Text Solution

    |

  9. Evaluate : (cos 75^(@))/ (sin 15^(@)) + (sin 12^(@))/ (cos 78^(@)) -...

    Text Solution

    |

  10. Prove that : sec ^(2) (90 ^(@) - theta) - (1)/(cot ^(2) ( 90 ^(...

    Text Solution

    |

  11. Find theta; if sin(theta + 36^@) = cos theta; where theta + 36^@ is a...

    Text Solution

    |

  12. If in Delta ABC , angle C = 90 ^(@) prove that: ( 1+ tan A)/(1- ...

    Text Solution

    |

  13. If cot A = (12)/(5) , verify tan ^(2) A - sin ^(2) A = sin ^(4) ...

    Text Solution

    |

  14. In a right triangle ABC, right angled at B . The ratio of AB to AC = ...

    Text Solution

    |

  15. If cot theta = (3)/(4) find the value of : ( sin theta- cos theta...

    Text Solution

    |

  16. If cosec A = sqrt3 , find the value of: (2 sin ^(2)A + 3 cot ^(2)...

    Text Solution

    |

  17. In an acute angled triangle A B C , if tan(A+B-C)=1 and ,sec(B+C-A)=2,...

    Text Solution

    |

  18. Prove that sin 30 ^(@) = (1)/(2).

    Text Solution

    |

  19. If tan (A-B) = (1)/(sqrt3) and sin A = (1)/(sqrt2) find the value o...

    Text Solution

    |

  20. In the following figures AB = 4 m and ED = 3m. If sin alpha = (3)...

    Text Solution

    |