Question #081fa

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Answer 1 · 2017-03-21T22:56:03

I am not sure it is true....

let us choose an angle, say $x=30^@$ , we get:
$sin(60^@)+2sin^2(30^@)=1$
$sqrt(3)/2+2*1/4=1$
$1.36=1$ that it is not true...

Answer 2 · 2017-03-22T04:06:32

Equation can't be verified

$sin 2x + 2sin^2 x = 1$
$sin 2x = 1 - 2sin^2 x$

Use trig identity:
$1 - cos 2x = 2sin^2 x$
$cos 2x = 1 - 2sin^2 x.$
The equation can't be verified because $sin 2x != cos 2x$