Simplify the trigonometric expression $\frac{\frac{\sin\left(x\right)+1}{\cos\left(x\right)}+1+\sin\left(x\right)}{\frac{\cos\left(x\right)+1}{\sin\left(x\right)}+1+\cos\left(x\right)}$

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Final answer to the problem

$\tan\left(x\right)$
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Step-by-step Solution

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Combine all terms into a single fraction with $\cos\left(x\right)$ as common denominator

$\frac{\frac{\sin\left(x\right)+1+\cos\left(x\right)+\sin\left(x\right)\cos\left(x\right)}{\cos\left(x\right)}}{\frac{\cos\left(x\right)+1}{\sin\left(x\right)}+1+\cos\left(x\right)}$

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$\frac{\frac{\sin\left(x\right)+1+\cos\left(x\right)+\sin\left(x\right)\cos\left(x\right)}{\cos\left(x\right)}}{\frac{\cos\left(x\right)+1}{\sin\left(x\right)}+1+\cos\left(x\right)}$

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Learn how to solve problems step by step online. Simplify the trigonometric expression ((sin(x)+1)/cos(x)+1sin(x))/((cos(x)+1)/sin(x)+1cos(x)). Combine all terms into a single fraction with \cos\left(x\right) as common denominator. Combine all terms into a single fraction with \sin\left(x\right) as common denominator. Divide fractions \frac{\sin\left(x\right)+1+\cos\left(x\right)+\sin\left(x\right)\cos\left(x\right)}{\frac{\left(\cos\left(x\right)+1+\sin\left(x\right)+\cos\left(x\right)\sin\left(x\right)\right)\cos\left(x\right)}{\sin\left(x\right)}} with Keep, Change, Flip: a\div \frac{b}{c}=\frac{a}{1}\div\frac{b}{c}=\frac{a}{1}\times\frac{c}{b}=\frac{a\cdot c}{b}. Simplify the fraction \frac{\left(\sin\left(x\right)+1+\cos\left(x\right)+\sin\left(x\right)\cos\left(x\right)\right)\sin\left(x\right)}{\left(\cos\left(x\right)+1+\sin\left(x\right)+\cos\left(x\right)\sin\left(x\right)\right)\cos\left(x\right)} by \sin\left(x\right)+1+\cos\left(x\right)+\sin\left(x\right)\cos\left(x\right).

Final answer to the problem

$\tan\left(x\right)$

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Function Plot

Plotting: $\tan\left(x\right)$

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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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