Trigonometry Challenge!

Geometry Level pending

Let the least positive value of x satisfying the equation s i n ( e x ) = 0 sin({ e }^{ x })=0 is a a then :

( l n ( π 4 ) ) / a (ln({ \pi }^{ 4 }))/a is a prime number ( l n ( π 4 ) ) / a (ln({ \pi }^{ 4 }))/a is a rational number ( l n ( π 4 ) ) / a (ln({ \pi }^{ 4 }))/a is an odd integer ( l n ( π 4 ) ) / a (ln({ \pi }^{ 4 }))/a is a negative integer

Sahil Bansal by Sahil Bansal , 21, India

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