200th problem

Geometry Level 2

( sin ( 0 % ) x + cos ( 0 % ) x ) ( 1000 % ) = ? \large(\sin^{(0\%)} x+\cos^{(0\%)} x )^{(1000\%)}=?

1 1 4 4 1.071 × 1 0 301 1.071\times 10^{301} \infty 1024 1024

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2 solutions

Munem Shahriar
Dec 29, 2017

( sin ( 0 % ) x + cos ( 0 % ) x ) ( 1000 % ) = ( 1 + 1 ) ( 1000 % ) = 2 10 = 1024 \large(\sin^{(0\%)} x+\cos^{(0\%)} x )^{(1000\%)}= (1+1)^{(1000\%)} = 2^{10} = 1024

As long as x x is not integer multiple of π 2 \frac{\pi}{2} (in radian).

Muhammad Rasel Parvej - 3 years, 5 months ago
Marta Reece
Dec 29, 2017

( sin ( 0 % ) x + cos ( 0 % ) x ) ( 1000 % ) = ( sin 0 x + cos 0 x ) 10 = ( 1 + 1 ) 10 = 1024 (\sin^{(0\%)} x+\cos^{(0\%)} x )^{(1000\%)}=(\sin^0 x+\cos^0 x )^{10}=(1+1)^{10}=\boxed{1024}

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