200th problem

Geometry Level 2

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

1

4

1.071\times 10^{301}

\infty

1024

2 solutions

Munem Shahriar
Dec 29, 2017

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

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

Muhammad Rasel Parvej - 3 years, 5 months ago

Marta Reece
Dec 29, 2017

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