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If cos^2x+cosx=a+2, then find the value ...

If `cos^2x+cosx=a+2`, then find the value of a for which equation has solution.

Text Solution

Verified by Experts

The correct Answer is:
[-9/4, 0]
`cos^2x+cosx=a+2`
`rArr (cosx+1/2)^2=a+9/4`
Now, `-1/2lecosx+1/2le3/2`
`:. (cosx+1/2)^2in[0,9/4]`
So, `0lea+9/4le9/4`
`:. -9/4leale0`
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