Home
Class 10
MATHS
Evaluate : (sec theta ."cosec" (90^(@) -...

Evaluate : `(sec theta ."cosec" (90^(@) - theta) - tan theta.cot (90^(@) - theta) + sin^(2) 55^(@) + sin^(2) 35^(@))/(tan 10^(@).tan 20^(@).tan 60^(@).tan 70^(@).tan 80^(@))`

Text Solution

Verified by Experts

The correct Answer is:
`(2 sqrt(3))/(3)` .
Promotional Banner

Topper's Solved these Questions

  • INTRODUCTION TO TRIGONOMETRY

    VK GLOBAL PUBLICATION|Exercise LONG ANSWER QUESTIONS|13 Videos

  • INTRODUCTION TO TRIGONOMETRY

    VK GLOBAL PUBLICATION|Exercise HOTS (HIGHER ORDER THINKING SKILLS)|6 Videos

  • INTRODUCTION TO TRIGONOMETRY

    VK GLOBAL PUBLICATION|Exercise SHORT ANSWER QUESTIONS-I|13 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

Evaluate: (sec theta csc(90^(0)-theta)-tan theta cot(90^(0)-theta)+sin^(2)55^(0)+sin^(2)35^(@))/(tan10^(0)tan20^(0)tan60^(@)tan70^(0)tan80^(0))

((cos (90 ^ (@)) - theta) sin (90 ^ (@) - theta)) / (tan (90 ^ (@) - theta))

What is the value of ( cosec (78^(@) - theta) - sec ( 12^(@) + theta) - tan (67^(@) + theta) + cot (23^(@) - theta) )/( tan 13^(@) tan 37^(@) tan 45^(@) tan 53^(@) tan 77^(@) ) ?

tan^(2)(90^(@) - theta) - cosec^(2) theta =

(sec theta+csc theta)^(2)-(tan theta+cot theta)^(2)=

Evaluate sin (50^(@) + theta) - cos (40^(@) - theta) + tan 1^(@) tan 15^(@) tan 20^(@) tan 70^(@) tan 65^(@) tan 89^(@) + sec (90^(@) - theta). cosec theta - tan (90^(@) - theta ) cot theta

tan theta+tan(90^(@)-theta)=sec theta xx sec(90^(@)-theta)

The value of cot theta.tan (90^@ -theta)-sec(90^@ - theta) cosec theta+ (sin^2 25^@+sin^2 65^@) +sqrt3(tan 5^@ tan15^@.tan30^@.tan75^@.tan85^@) is

VK GLOBAL PUBLICATION-INTRODUCTION TO TRIGONOMETRY-SHORT ANSWER QUESTIONS-II
  1. If sectheta=x+1/(4x),p rov et h a t :sectheta+tantheta=2xor ,1/(2x)

    Text Solution

    |

  2. Find an acute angle theta , when (costheta-sintheta)/(costheta+sinthet...

    Text Solution

    |

  3. The altitude A D of a A B C , in which /A obtuse and, A D=10c mdot If...

    Text Solution

    |

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

    Text Solution

    |

  5. Prove that (tan A )/(1 + sec A) - (tan A )/(1 - sec A ) = 2 cosec A.

    Text Solution

    |

  6. Prove: (cos^(3)theta+sin^(3)theta)/(cos theta+sin theta)+(cos^(3)theta...

    Text Solution

    |

  7. सिद्ध करें कि cot theta-tan theta=(2 cos^(2)theta-1)/(sin theta*cos...

    Text Solution

    |

  8. Prove that (cot^(2)theta)/(cosec theta+1)=cosec theta-1

    Text Solution

    |

  9. Evaluate the (sin 30^(@) + tan 45^(@) - "cosec" 60^(@))/(sec 30^(@)...

    Text Solution

    |

  10. Evaluate the following (i) s in"\ "60o"\ "cos"\ "30o"\ "+"\ "s in"...

    Text Solution

    |

  11. If tan(A+B)=sqrt(3) and t a n(A B)=1/(sqrt(3)); 0o<A+Blt=90o;""...

    Text Solution

    |

  12. If A, B and C are interior angles of a triangle ABC, then show that si...

    Text Solution

    |

  13. Prove that (cosec theta-cot theta)^2=(1-cos theta)/(1+cos theta)

    Text Solution

    |

  14. Prove that: (sin theta - 2 sin^(3) theta) = (2cos^(3) theta - cos the...

    Text Solution

    |

  15. (sin A+cosec A)^(2)+(cos A+sec A)^(2)=7+tan^(2)A+cot^(2)A

    Text Solution

    |

  16. Prove each of the following identities : (1+ cos theta - sin^(2) th...

    Text Solution

    |

  17. 1/(sinA+cosA+1)+1/(sinA+cosA-1)=secA+c o s e c A

    Text Solution

    |

  18. Prove that (cos A)/(1+sin A)+(1+sin A)/(cos A)=2sec A

    Text Solution

    |

  19. Evaluate : (sec^(2)theta-cot^(2)(90^(@)-theta))/("cosec"^(2)67^(@)-tan...

    Text Solution

    |

  20. Evaluate : (sec theta ."cosec" (90^(@) - theta) - tan theta.cot (90^(@...

    Text Solution

    |