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Solve the trigonometric equation $\sin\left(x\right)=\sin\left(x\right)\left(\tan\left(x\right)+\cot\left(x\right)\right)$

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Final answer to the problem

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Step-by-step Solution

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Multiplying polynomials $\sin\left(x\right)$ and $\tan\left(x\right)+\cot\left(x\right)$

$\sin\left(x\right)=\sin\left(x\right)\tan\left(x\right)+\sin\left(x\right)\cot\left(x\right)$

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$\sin\left(x\right)=\sin\left(x\right)\tan\left(x\right)+\sin\left(x\right)\cot\left(x\right)$

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Learn how to solve problems step by step online. Solve the trigonometric equation sin(x)=sin(x)(tan(x)+cot(x)). Multiplying polynomials \sin\left(x\right) and \tan\left(x\right)+\cot\left(x\right). Simplify \sin\left(x\right)\cot\left(x\right) into \cos(x) by applying trigonometric identities. Group the terms of the equation by moving the terms that have the variable x to the left side, and those that do not have it to the right side. Applying the tangent identity: \displaystyle\tan\left(\theta\right)=\frac{\sin\left(\theta\right)}{\cos\left(\theta\right)}.

Final answer to the problem

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1
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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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