Home
Class 10
MATHS
Without using trigonometric tables, eval...

Without using trigonometric tables, evaluate each of the following: `(sec^2 54^0-cot^2 36^0)/(cos e c^2 57^0-tan^2 33^0)+2sin^2 38^0sec^2 52^0-sin^2 45^0`

Text Solution

Verified by Experts

The correct Answer is:
`(2+2sqrt3)/2`
Promotional Banner

Topper's Solved these Questions

  • INTRODUCTION TO TRIGONOMETRY

    CBSE COMPLEMENTARY MATERIAL|Exercise LONG ANSWER TYPE QUESTIONS|10 Videos

  • INTRODUCTION TO TRIGONOMETRY

    CBSE COMPLEMENTARY MATERIAL|Exercise PRACTICS-TEST (SECTION-A)|4 Videos

  • INTRODUCTION TO TRIGONOMETRY

    CBSE COMPLEMENTARY MATERIAL|Exercise SHORT ANSWER TYPE (I) QUESTIONS|15 Videos

  • CONSTRUCTIONS

    CBSE COMPLEMENTARY MATERIAL|Exercise (PRACTICE-TEST) SECTION-C|1 Videos

  • PAIR OF LINEAR EQUATIONS IN TWO VARIABLES

    CBSE COMPLEMENTARY MATERIAL|Exercise PRACTICE-TEST (SECTION-D)|1 Videos

Similar Questions

Explore conceptually related problems

Without using trigonometric tables,evaluate each of the following: (sec^(2)54^(0)-cot^(2)36^(@))/(cos ec^(2)57^(0)-tan^(2)33^(0))+2sin^(2)38^(@)sec^(2)52^(0)-sin^(2)45^(@)

Without using trigonometric tables, evaluate each of the following: (cos^2 20^0+cos^2 70^0)/(sec^2 50^0-cot^2 40^0)+2cosec^2 58^0-2cot58^0tan32^0- 4tan13^0tan37^0tan45^0tan53^0tan77^0

Without using trigonometric tables, evaluate the following: (sec37^0)/(cos e c53^0)+2cot15^0cot25^0cot45^0cot75^0cot65^0(sin^2 18^0+sin^2 72^0)

Without using trigonometric tables, evaluate each of the following : (i) sin^2 65^@+sin^2 25^@ (ii) cos^2 17^@- sin^2 73^@ (iii) cosec ^2 67^@-tan^223^@ (iv) sec^2 36^@-cot ^2 54^@ .

Without using trigonometric tables, evaluate each of the following: (-tanthetacot(90^0-theta)+secthetacos e c(90^0-theta)+sin^2 35^0+sin^2 55^0)/(tan10^0tan20^0tan30^0tan70^0tan80^0)

Without using trigonometric tables,evaluate each of the following: (sec39^(0))/(cos ec51^(0))+(2)/(sqrt(3))tan17^(0)tan38^(@)tan60^(@)tan52^(@)tan73^(@)-3(sin^(2)31^(0)+sin^(2)59^(@))

Without using trigonometric tables,evaluate each of the following: (2)/(3)cos ec^(2)58^(@)-(2)/(3)cot58^(@)tan32^(@)-(5)/(3)tan13^(0)tan37^(0)tan45^(@)tan53^(@)tan77^(0)

Without using trigonometric tables,evaluate each of the following: (sin^(2)20^(@)+sin^(2)70^(@))/(cos^(2)20^(0)+cos^(2)70^(@))+(sin(90^(@)-theta)sin theta)/(tan theta)+(cos(90^(@)-theta)cos theta)/(cot theta)+cos(40^(0)+theta)-sin(50^(@)-theta)+(cos^(2)40^(0)+cos^(2)50^(@))/(sin^(2)40^(0)+sin^(2)50^(@))

Without using trigonometric table,evaluate the following: (cos ec^(2)(90-theta)-tan^(2)theta)/(4(cos^(2)48^(@)+cos^(2)42^(@)))-(2tan^(2)30^(@)sec^(2)52^(@)sin^(2)38^(@))/(cos ec^(2)70^(@)-tan^(2)20^(@))

Evaluate (sec^2""54^@-cot^2""36^@)/(cosec^2""57^@-tan^2""33^@)+2sin^2""38sec^2""52^@-sin^2""45^@+2/sqrt3tan17^@tan60^@tan73^@

CBSE COMPLEMENTARY MATERIAL-INTRODUCTION TO TRIGONOMETRY-SHORT ANSWER TYPE QUESTIONS
  1. (tanA+secA-1)/(tanA-secA+1)=(1+sinA)/(cosA)

    Text Solution

    |

  2. Prove 1/(secx-tanx)-1/(cosx)=1/(cosx)-1/(secx+tanx)

    Text Solution

    |

  3. (tantheta)/(1-cottheta)+(cottheta)/(1-tantheta)=1+tantheta+cottheta=se...

    Text Solution

    |

  4. Prove that (sin theta + "cosec" theta)^(2)+(cos theta + sec theta)^(...

    Text Solution

    |

  5. secA(1-sinA)(secA+tanA)=1

    Text Solution

    |

  6. If tantheta+sintheta=m and tantheta-sintheta=n, then prove that: m^(2)...

    Text Solution

    |

  7. If sectheta=x+(1)/(4x),prove that sectheta+tantheta=2xor(1)/(2x)*

    Text Solution

    |

  8. If sintheta+sin^2theta=1 , prove that cos^2theta+cos^4theta=1

    Text Solution

    |

  9. Without using trigonometric table, the value of cotthetatan(90^(@)-t...

    Text Solution

    |

  10. Prove that : (cot(90^(@)-theta))/(tantheta)+("cosec"(90^(@)-theta)sint...

    Text Solution

    |

  11. Without using trigonometric tables, evaluate each of the following: (...

    Text Solution

    |

  12. If A, B, C are the angles of DeltaABC then prove that "cosec"^(2)((B+C...

    Text Solution

    |

  13. Find the value of sec^(2)10^(@)-cot^(2)80^(@)+(sin15^(@)cos75^(@)+cos1...

    Text Solution

    |

  14. Prove the following identities: (tantheta-cottheta)/(sinthetacostheta...

    Text Solution

    |

  15. If sintheta+costheta=sqrt2costhetathen costheta-sintheta is equal to

    Text Solution

    |

  16. Evaulate : 4-(sin30^(@)+tan45^(@)-"cosec"60^(@))/(sec30^(@)+cos60^(@)+...

    Text Solution

    |

  17. Prove that : 1-(sinAsin(90^(@)-A))/(cot(90^(@)-A))=sin^(2)A

    Text Solution

    |

  18. i) If acostheta+bsintheta=m and asintheta-bcostheta=n, then prove that...

    Text Solution

    |

  19. If acostheta-bsintheta=c, then prove that: asintheta+bcostheta=+-sqr...

    Text Solution

    |

  20. Without using trigonometric tables, evaluate each of the following: (...

    Text Solution

    |