Question

Find the range of 7cosx-24sinx+5

Answer 1

We know, if any function , is given ,

then, range of function will be

here, function is 7cosx - 24sinx + 5

first of all, find range of 7cosx - 24 sinx

a = -24 and b = 7

then, range of (7cosx - 24sinx) is or,

e.g., - 25 ≤ 7cosx - 24 sinx ≤ 25

or, -25 + 5 ≤ 7cosx - 24sinx + 5 ≤ 25 + 5

or, - 20 ≤ 7cosx - 24sinx + 5 ≤ 30

hence, range of (7cosx - 24sinx + 5) is [ -20, 30]

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