Home
Class 12
MATHS
The value of the expression (tan^2 20^0-...

The value of the expression `(tan^2 20^0-sin^2 20^0)/(tan^2 20^0+sin^2 20^0)` is__________

Text Solution

Verified by Experts

The correct Answer is:
1
`tan^2 20^@-sin^2 20^@=tan^2 20^@(1-cos^2 20^@)`
`=tan^2 20^@sin^2 20^@`
Doubtnut Promotions Banner Mobile Dark
|

Topper's Solved these Questions

  • TRIGONOMETRIC FUNCTIONS

    CENGAGE|Exercise JEE Main Previous Year|2 Videos

  • TRIGONOMETRIC FUNCTIONS

    CENGAGE|Exercise JEE Advanced Previous Year|2 Videos

  • TRIGONOMETRIC FUNCTIONS

    CENGAGE|Exercise Exercise (Matrix)|3 Videos

  • TRIGONOMETRIC EQUATIONS

    CENGAGE|Exercise Archives (Matrix Match Type)|1 Videos

  • TRIGONOMETRIC RATIOS AND TRANSFORMATION FORMULAS

    CENGAGE|Exercise Matrix Match Type|1 Videos

Similar Questions

Explore conceptually related problems

The value of the expression (tan^(2)20^(0)-sin^(2)20^(@))/(tan^(2)20^(0)+sin^(2)20^(@)) is

(2cos 40^0-cos 20^0)/(sin 20^0)=

Knowledge Check

  • The value of (tan^(2)20^(@)-sin^(2)20^(@))/(tan^(2)20^(@).sin^(2)20^(@)) is

    A
    `1//2`
    B
    1
    C
    2
    D
    none of these

  • The value of (tan^(2)0-sin^(2)0)/(2+tan^(2)0+cot^(2)0) is

    A
    `cosec^(6)0`
    B
    `sin^(6)0`
    C
    `cos^(4)0`
    D
    `sec^(4)0`

  • The value of sin[2tan^(-1)(0.75)] is

    A
    `0.75`
    B
    `1.5`
    C
    `0.96`
    D
    `sin 1.5`

    • Similar Questions

    Explore conceptually related problems

    tan20^(@)+4sin20^(@)

    The value of the equation tan^(6)(20^(@))-33tan^(4)(20^(@))+27tan^(2)(20^(@)) is

    Find the exact value of the expression (tan70^(@)-tan20^(@)-2tan40^(@))/(tan10^(@))

    sin^(2)20^@+sin^(2)70^@-tan^2 45^@ =?

    the value of the equation tan^(6)(20^(@))-33tan^(4)(20^(@))+27tan^(2)(20^(@)) is

    Home
    Profile