Home
Class 11
MATHS
If 5(tan^2x - cos^2x)=2cos 2x + 9, then ...

If `5(tan^2x - cos^2x)=2cos 2x + 9`, then the value of cos4x is

A

`-7/9`

B

`-3/5`

C

`1/3`

D

`2/9`

Text Solution

Verified by Experts

1
Doubtnut Promotions Banner Mobile Dark
|

Topper's Solved these Questions

  • BASIC MATHS,LOGARITHIM, TRIGNOMETRIC RATIO AND IDENTITIES AND TRIGNOMETRIC EQUATION

    ALLEN|Exercise EXERCISE (S-1)|44 Videos
  • BASIC MATHS,LOGARITHIM, TRIGNOMETRIC RATIO AND IDENTITIES AND TRIGNOMETRIC EQUATION

    ALLEN|Exercise EXERCISE (JA)|16 Videos
  • BASIC MATHS LOGARITHIM TRIGNOMETRIC RATIO AND IDENTITIES AND TRIGNOMETRIC EQUATION

    ALLEN|Exercise ILLUSTRATIONS|39 Videos
  • SOLUTION AND PROPERTIES OF TRIANGLE

    ALLEN|Exercise All Questions|62 Videos

Similar Questions

Explore conceptually related problems

If 5(tan^(2)x-cos^(2)x)=2cos2x+9, then the value of cos4x is: (2)/(9)(2)-(7)/(9)(3)-(3)/(5)(4)(1)/(3)

If 5(tan^(2)x-cos^(2)x)=2cos2x+9, then the value of cos4x is

Knowledge Check

  • 5(tan^(2)x-cos^(2)x) = 2cos2x +9 , then the value of cos4x is:

    A
    `-3//5`
    B
    `1//3`
    C
    `2//9`
    D
    `-7//9`
  • If sin (x+y)=cos (x-y), then the value of cos^2x is :

    A
    3
    B
    5
    C
    `1/4`
    D
    `1/2`
  • If (sin x + cos x)/(sin x - cos x) = (6)/(5) , then the value of (tan^(2) x + 1)/(tan^(2) x-1) is :

    A
    `(35)/(61)`
    B
    `(61)/(60)`
    C
    `(60)/(61)`
    D
    `(61)/(35)`
  • Similar Questions

    Explore conceptually related problems

    If 5(tan^(2)x-cos^(2)x)=2cos(2x)+9 , then the value of cos(4x) is

    If 30 (tan^(2)x-cos^(2)x)+7 cos 2x+20=0 then evaluate 2 cos 2x - 1

    If cos3x cos7x=cos^(2)2x, then general value of x is

    If cos x+cos y=a and cos2x+cos2y=b then the value of cos x cos y=(lambda a^(2)+mu b-2)/(4) the value of 2 lambda-mu is

    If cos3x.cos7x=cos^(2)2x, then general value of x is