Solve the rational equation $\frac{\sec\left(x\right)^{2x}}{\tan\left(x\right)}=\sec\left(x\right)\csc\left(x\right)$

Step-by-step Solution

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Final answer to the problem

$x=1$
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Step-by-step Solution

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  • Factor
  • Solve for x
  • Find the derivative using the definition
  • Solve by quadratic formula (general formula)
  • Simplify
  • Find the integral
  • Find the derivative
  • Factor by completing the square
  • Find the roots
  • Find break even points
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Multiply both sides of the equation by $\tan\left(x\right)$

$\sec\left(x\right)^{2x}=\sec\left(x\right)\csc\left(x\right)\tan\left(x\right)$

Learn how to solve rational equations problems step by step online.

$\sec\left(x\right)^{2x}=\sec\left(x\right)\csc\left(x\right)\tan\left(x\right)$

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Learn how to solve rational equations problems step by step online. Solve the rational equation (sec(x)^(2x))/tan(x)=sec(x)csc(x). Multiply both sides of the equation by \tan\left(x\right). Applying the trigonometric identity: \tan\left(\theta \right)\csc\left(\theta \right) = \sec\left(\theta \right). When multiplying two powers that have the same base (\sec\left(x\right)), you can add the exponents. If the bases are the same, then the exponents must be equal to each other.

Final answer to the problem

$x=1$

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Function Plot

Plotting: $\frac{\sec\left(x\right)^{2x}}{\tan\left(x\right)}-\sec\left(x\right)\csc\left(x\right)$

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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: Rational Equations

Rational or fractional equations are those equations that contain algebraic fractions, and where the variable or unknown appears in the denominator of at least one of those fractions.

Used Formulas

See formulas (2)

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