KCET 2025 Math Paper

To find the minimum value of the expression f(x)=1−sin‌x, we start by considering the range of the sine function. Since −1≤sin‌x≤1, this means the minimum value of sin‌x is -1 .
Now, compute f(x) when sin‌x=−1 :
f(x)=1−(−1)=1+1=2
Check if sin‌x=1 :
f(x)=1−1=0
Thus, the minimum value of f(x)=1−sin‌x occurs when sin‌x=1, making the minimum value:
fmin=0