Solve the equation $\sin\left(a\right)=a\sqrt{1-\cos\left(a\right)^2}$

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Final answer to the problem

$true,\:a=1$
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Applying the trigonometric identity: $1-\cos\left(\theta \right)^2 = \sin\left(\theta \right)^2$

$\sin\left(a\right)=a\sqrt{\sin\left(a\right)^2}$
Why is 1 - cos(x)^2 = sin(x)^2 ?

Learn how to solve equazioni trigonometriche problems step by step online.

$\sin\left(a\right)=a\sqrt{\sin\left(a\right)^2}$

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Learn how to solve equazioni trigonometriche problems step by step online. Solve the equation sin(a)=(1-cos(a)^2)^(1/2)a. Applying the trigonometric identity: 1-\cos\left(\theta \right)^2 = \sin\left(\theta \right)^2. Apply the formula: \left(x^a\right)^b=x, where a=2, b=1, x^a^b=\sqrt{\sin\left(a\right)^2}, x=\sin\left(a\right) and x^a=\sin\left(a\right)^2. Apply the formula: a=b\to a-b=0, where a=\sin\left(a\right) and b=a\sin\left(a\right). Factor the polynomial \sin\left(a\right)-a\sin\left(a\right) by it's greatest common factor (GCF): \sin\left(a\right).

Final answer to the problem

$true,\:a=1$

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Function Plot

Plotting: $\sin\left(a\right)-a\sqrt{1-\cos\left(a\right)^2}$

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1
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3
4
5
6
7
8
9
0
a
b
c
d
f
g
m
n
u
v
w
x
y
z
.
(◻)
+
-
×
◻/◻
/
÷
2

e
π
ln
log
log
lim
d/dx
Dx
|◻|
θ
=
>
<
>=
<=
sin
cos
tan
cot
sec
csc

asin
acos
atan
acot
asec
acsc

sinh
cosh
tanh
coth
sech
csch

asinh
acosh
atanh
acoth
asech
acsch

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