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Solve the logarithmic equation $\ln\left(\theta\right)\left(\left|\csc\left(\theta\right)^2\right|-\cot\left(\theta\right)^2\right)=0$

Step-by-step Solution

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Solving: $\ln\left(t\right)\left(\left|\csc\left(t\right)^2\right|-\cot\left(t\right)^2\right)=0$

Final answer to the problem

$\theta=1$
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Step-by-step Solution

How should I solve this problem?

  • Solve for t
  • 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
  • Find break even points
  • Load more...
Can't find a method? Tell us so we can add it.
1

Break the equation in $2$ factors and set each equal to zero, to obtain

$\ln\left(\theta\right)=0,\:\left|\csc\left(\theta\right)^2\right|-\cot\left(\theta\right)^2=0$

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

$\ln\left(\theta\right)=0,\:\left|\csc\left(\theta\right)^2\right|-\cot\left(\theta\right)^2=0$

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Learn how to solve logarithmic equations problems step by step online. Solve the logarithmic equation ln(t)(abs(csc(t)^2)-cot(t)^2)=0. Break the equation in 2 factors and set each equal to zero, to obtain. Solve the equation (1). Take the variable outside of the logarithm. Any expression (except 0 and \infty) to the power of 0 is equal to 1.

Final answer to the problem

$\theta=1$

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Function Plot

Plotting: $\ln\left(t\right)\left(\left|\csc\left(t\right)^2\right|-\cot\left(t\right)^2\right)$

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Answer Assistant

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Got a different answer? Verify it!

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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: Logarithmic Equations

Are those equations in which the unknown variable appears within a logarithm.

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