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

Step-by-step Solution

Go!
Symbolic mode
Text mode
Go!
1
2
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

Final answer to the problem

$\tan\left(x\right)$
Got another answer? Verify it here!

Step-by-step Solution

How should I solve this problem?

  • Choose an option
  • Find the derivative
  • Integrate using basic integrals
  • Verify if true (using algebra)
  • Verify if true (using arithmetic)
  • Integrate by partial fractions
  • Product of Binomials with Common Term
  • FOIL Method
  • Integrate by substitution
  • Integrate by parts
  • Load more...
Can't find a method? Tell us so we can add it.
1

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

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

Learn how to solve simplify trigonometric expressions problems step by step online.

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

With a free account, access a part of this solution

Unlock the first 3 steps of this solution

Learn how to solve simplify trigonometric expressions 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

$\tan\left(x\right)$

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

Help us improve with your feedback!

Function Plot

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

SnapXam A2
Answer Assistant

beta
Got a different answer? Verify it!

Go!
1
2
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

How to improve your answer:

Main Topic: Simplify Trigonometric Expressions

Simplification of trigonometric expressions consists of rewriting an expression with trigonometric functions in a simpler form. To perform this task, we usually use the most common trigonometric identities, and some algebra.

Your Personal Math Tutor. Powered by AI

Available 24/7, 365.

Complete step-by-step math solutions. No ads.

Includes multiple solving methods.

Download complete solutions and keep them forever.

Premium access on our iOS and Android apps.

Join 500k+ students in problem solving.

Choose your plan. Cancel Anytime.
Pay $39.97 USD securely with your payment method.
Please hold while your payment is being processed.

Create an Account