Absolute x x equal to absolute sine of x x ?

Geometry Level 3

What are the number of solutions of x x satisfying ∣ x ∣ = ∣ sin ⁡ x ∣ |x|=|\sin x| ?

1 4 0 2 There are infinitely many solutions 3

Prince Loomba by Prince Loomba , 21, India

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2 solutions

Prince Loomba
May 16, 2016

Their graphs intersect at x=0, and then abs (x) goes above abs (sin x) and never intersect

2 Helpful 1 Interesting 0 Brilliant 0 Confused

X could have been 1 or 0. sin-1(1) = 90, and sin-1(0) = 0

X should equal 0 and the only number to solve this problem.

0 Helpful 0 Interesting 0 Brilliant 0 Confused

x could be any number, why not 0.5?

Prince Loomba - 2 years, 2 months ago

sin 0.5 is 0.0087, so no.

I changed my name. - 2 years, 2 months ago

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I meant isn't considering only 2 cases a partial solution? You have to tell why others can't be solutions too..

Prince Loomba - 2 years, 1 month ago

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