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

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##  Final answer to the problem

$true,\:a=1$
Got another answer? Verify it here!

##  Step-by-step Solution 

How should I solve this problem?

• Choose an option
• Solve for a
• Find the derivative using the definition
• Solve by quadratic formula (general formula)
• Simplify
• Find the integral
• Find the derivative
• Factor
• Factor by completing the square
• Find the roots
Can't find a method? Tell us so we can add it.
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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 trigonometric equations problems step by step online.

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

Learn how to solve trigonometric equations 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. Cancel exponents 2 and 1. Grouping all terms to the left side of the equation. 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

$true,\:a=1$

##  Explore different ways to solve this problem

Solving a math problem using different methods is important because it enhances understanding, encourages critical thinking, allows for multiple solutions, and develops problem-solving strategies. Read more

SnapXam A2

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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

###  Main Topic: Trigonometric Equations

A trigonometric equation is an equation in which one or more trigonometric ratios appear.