Home
Class 11
MATHS
Prove that (sec A-cosec A)(1+tan A+cot A...

Prove that `(sec A-cosec A)(1+tan A+cot A)=tan A secA + cotA cosec A`

Promotional Banner

Topper's Solved these Questions

  • STRAIGHT LINES

    V PUBLICATION|Exercise QUESTIONBANK|99 Videos

Similar Questions

Explore conceptually related problems

Prove that cosec^-1x+sec^-1x=pi/2

Prove that 2 sec ^(2) theta-2 cosec^2theta-sec ^(4) theta+cosec^4 theta=cot ^(4) theta-tan ^(4) theta

Prove that (sec8theta-1)/(sec4theta-1)=(tan8theta)/(tan2theta)

Prove that tan 70^@ = tan 20^@ + 2 tan 50^@ .

int( sin ^2 x-cos ^2 x)/(sin ^2 x cos ^2 x) d x is equal to a) tan x+cot x+C b) tan x+cosec x+C c) -tan x+cot x+C d) tan x+sec x+C

Show that sec ^(2) theta+cosec^(2) theta geq 4

If tan A - tan B = x and cot B - cot A= y, then cot (A-B) is

Prove that tan^-1 (1/2)+tan^-1(2/11)=tan^-1(3/4)

(ii)Prove that tan(pi/4-theta)=(1-tan theta)/(1+tan theta)

cosecA=1/sinA and cotA=cosA/sinA prove cosecA-cotA=tan(A/2)

V PUBLICATION-TRIGNOMETRC FUNCTIONS-QUESTION BANK
  1. A cow is tied to a post with a rope of 20 m long .If it moves along a ...

    Text Solution

    |

  2. Three points A, B, C are marked in the stem of a coconut trees so that...

    Text Solution

    |

  3. Prove that sin ^(2) A cos ^(2) B+cos ^(2) A sin ^(2) B+cos ^(2) A cos ...

    Text Solution

    |

  4. Prove that sqrt((1+cosA)/(1-cos A))=cosecA+cot A

    Text Solution

    |

  5. Prove that 2 sec ^(2) theta-2 cosec^2theta-sec ^(4) theta+cosec^4 thet...

    Text Solution

    |

  6. Prove that (sec A-cosec A)(1+tan A+cot A)=tan A secA + cotA cosec A

    Text Solution

    |

  7. If cos theta+sin theta=sqrt(2) cos theta,then show that cos theta-sin...

    Text Solution

    |

  8. If tan ^(2) theta=1-k^(2), show that sec theta+tan ^(3) theta cosecthe...

    Text Solution

    |

  9. If a cos theta+b sin theta=c, show that asin theta-bcos theta=pm sqrt(...

    Text Solution

    |

  10. If T(n)=sin ^(n) theta+cos ^(n) theta. prove that (T(3)-T5)/(T1)=(T5-T...

    Text Solution

    |

  11. Find the quadrant in which cos theta is negative and tantheta is posi...

    Text Solution

    |

  12. Show that sec ^(2) theta+cosec^(2) theta geq 4

    Text Solution

    |

  13. Prove that cos theta+sec theta can never be equal to (3)/(2)

    Text Solution

    |

  14. If x be real, show that cos theta cannot be equal to x+(1)/(x).

    Text Solution

    |

  15. Show that (i) sin ^(2) 6 x-sin ^(2) dot(4) x=sin 2 x sin 10 x (ii) ...

    Text Solution

    |

  16. If x and y be real, show that the equation sec ^(2) theta=(4 xy)/((x+y...

    Text Solution

    |

  17. If cot alpha cot beta=2, show that (cos (alpha+beta))/(cos (alpha-beta...

    Text Solution

    |

  18. show that : tan 75^(circ)+cot 75^(circ)=4

    Text Solution

    |

  19. Prove that cot x cot 2 x-cot 2 x cot 3 x-cot 3 x cot x=1

    Text Solution

    |

  20. Show that (i) sin ^(2) 6 x-sin ^(2) dot(4) x=sin 2 x sin 10 x (ii) ...

    Text Solution

    |