Prove-it-by-mathematical-induction-j-1-n-x-j-j-1-n-sin-x-j-x-j-0-pi-

Question Number 181699 by Shrinava last updated on 28/Nov/22

Prove it by mathematical induction :

∣ \underset{j = 1}{\sum^{n}} x_{j} ∣ ⩽ \underset{j = 1}{\sum^{n}} \sin x_{j}; x_{j} \in [0, π]

Commented by mr W last updated on 28/Nov/22

w h a t i f x_{j} = \frac{π}{2} ?

L H S = n \times \frac{π}{2}

R H S = n \times 1 = n

L H S > R H S!

\Rightarrow q u e s t i o n i s w r o n g!

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