Home
Class 11
MATHS
(1+ sec 20^(0))(1+sec40^(0))(1+ sec80^(0...

`(1+ sec 20^(0))(1+sec40^(0))(1+ sec80^(0))=`

A

`cot^(2)20^(0)`

B

`cot^(2)10^(0)`

C

`tan^(2)10^(0)`

D

`tan^(2)20^(0)`

Text Solution

Verified by Experts

The correct Answer is:
B
Doubtnut Promotions Banner Mobile Dark
|

Topper's Solved these Questions

  • REVISION EXERCISE

    AAKASH SERIES|Exercise TRANSFORMATIONS AND IDENTITIES|14 Videos

  • REVISION EXERCISE

    AAKASH SERIES|Exercise PERIOICITY, EXTREME VALUES AND GRAPHS|14 Videos

  • REVISION EXERCISE

    AAKASH SERIES|Exercise COMPOUND ANGLES|12 Videos

  • REAL FUNCTIONS

    AAKASH SERIES|Exercise EXERCISE-1|34 Videos

  • STRAIGHT LINES

    AAKASH SERIES|Exercise ADDITIONAL PRACTICE EXERCISE (LEVEL-II (ADVANCED) PRACTICE SHEET (ADDVANCED)) (Comprehension Type Questions)|6 Videos

Similar Questions

Explore conceptually related problems

{:(" "Lt),(n rarr oo):} [ (1)/(n^(2)) sec^(2). (1)/(n^(2)) + (2)/(n^(2))sec^(2). (4)/(n^(2))+...+1/n sec^(2)1]=

Prove that sqrt3 "cosec" 20^(@) - sec 2 0 ^(@) = 4.

Knowledge Check

  • (1+ sec 20^(@))(1+ sec 40^(@))(1+ sec 80^(@))=

    A
    0
    B
    1
    C
    `-1`
    D
    2

  • sec h^(-1)((1)/(sqrt(2))) =

    A
    `log_(e)(sqrt(2)-1)`
    B
    `log_(e)(sqrt(2) + 1)`
    C
    `log_(e)(sqrt(3) +1)`
    D
    `log_(e)(sqrt(3) - 1)`

  • sec h^(-1) ((1)/(sqrt(2))) =

    A
    `log_(e) (sqrt(2) - 1)`
    B
    `log_(e) (sqrt(2) + 1)`
    C
    `log_(e) (sqrt(3) + 1)`
    D
    `log_(e) (sqrt(3) - 1)`

    • Similar Questions

    Explore conceptually related problems

    Show that (i) sec^(2) ( tan^(-1) 2) + cosec^(2) ( cot^(-1) 2) =0

    A : sqrt(1-sin^(2)100^@) sec 100^(@) =-1 R : sqrt(x^(2))=-x " if " x lt 0

    If a_(1), a_(2), a_(3),….a_(n) be an A.P with common difference d, then sec a_(1) sec a_(2) + sec a_(2) sec a_(3) + …+ sec a_(n-1) sec a_(n) =

    sec h^(-1)((1)/(3)) =

    sec h^(-1)(cos theta) =

    Home
    Profile