The number of all possible triplets (a_1 , a_ | vedclass

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Question

we can write $\sin ^{2} x=\frac{(1-\cos 2 x)}{2}$

$a_{1}+\frac{a_{3}}{2}=0$

$a_{2}-\frac{a_{3}}{2}=0$

These two equations can have infinite r

Vedclass · Accepted Answer

infinite

Vedclass · Answer

we can write $\sin ^{2} x=\frac{(1-\cos 2 x)}{2}$

$a_{1}+\frac{a_{3}}{2}=0$

$a_{2}-\frac{a_{3}}{2}=0$

These two equations can have infinite roots.

The number of all possible triplets $(a_1 , a_2 , a_3)$ such that $a_1+ a_2 \,cos \, 2x + a_3 \, sin^2 x = 0$ for all $x$ is

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