I was trying to find the least value of |sinx|+|cosx| and applied the above inequality...
I was trying to find the least value of and applied the above inequality as :
But the range of the given function is .
Answer & Explanation
2022-01-02Added 38 answers
It doesn't hold iff x and y have the same sign. As for your problem remember that if then so and for upper bound (remember ):
2022-01-03Added 34 answers
But, for example, if x=0 then both sides are 1; thus we cannot conclude
2022-01-08Added 457 answers
Notice that so
g is periodic of period and we can study it on .
But on this interval both sin and cos are positive, so we can get rid of absolute values and g(x)=f(x) on
You now can use the addition formulas to transform f to and see that has values between 0 and while g(x) has values between 1 and .
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