Home
Class 12
MATHS
Find the range of f(x)=1/(2cosx-1)...

Find the range of `f(x)=1/(2cosx-1)`

Text Solution

Verified by Experts

`-1 le cosx le 1`
or ` -2 le 2 cosx le 2`
or ` -3 le 2cos x -1 le 1`
For `(1)/(2cosx-1),`
`-3 le 2 cosx -1 lt 0 " or " 0 lt 2 cosx -1 le1`
i.e., `-oo lt (1)/(2cosx-1) le (-1)/(3) " or " 1 le (1)/(2cosx-1) lt oo`
Hence, the range is `(-oo,-(1)/(3)] cup [1, oo).`
Promotional Banner

Topper's Solved these Questions

  • RELATIONS AND FUNCTIONS

    CENGAGE ENGLISH|Exercise Solved Examples|15 Videos

  • RELATIONS AND FUNCTIONS

    CENGAGE ENGLISH|Exercise CONCEPT APPLICATION EXERCISE 1.1|15 Videos

  • PROPERTIES AND SOLUTIONS OF TRIANGLE

    CENGAGE ENGLISH|Exercise Archives (Numerical Value Type)|3 Videos

  • SCALER TRIPLE PRODUCTS

    CENGAGE ENGLISH|Exercise DPP 2.3|11 Videos

Similar Questions

Explore conceptually related problems

Find the range of f(x)=1/(4cosx-3)dot

Find the range of f(x)=1/(4cosx-3) .

Find the range of f(x)=1/((cosx-3)^2+(sinx+4)^2)

Find the range of f(x)=1/((cosx-3)^2+(sinx+4)^2)

Find the range of f(x)=1/(2abscosx-3)

Find the range of f(x)=sin(cosx).

Find the range of f(x)=sqrt(cos^(-1)sqrt((1-x^2))-sin^(-1)x)

Find the range of f(x)=(1)/(|sinx|)+(1)/(|cosx|)

Find the range of f(x)=cos^(-1)((sqrt(1+2x^2))/(1+x^2))

Find the range of f(x) = cos^(-1) x + cot^(-1) x