Calculators Topics Go Premium About Snapxam
ENGESP
Topics

Step-by-step Solution

Solve the trigonometric equation $\frac{1-\cos\left(x\right)}{\sin\left(x\right)}-\left(\frac{\sin\left(x\right)}{1-\cos\left(x\right)}\right)=2\csc\left(x\right)\cot\left(x\right)$

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
|◻|
=
>
<
>=
<=
sin
cos
tan
cot
sec
csc

asin
acos
atan
acot
asec
acsc

sinh
cosh
tanh
coth
sech
csch

asinh
acosh
atanh
acoth
asech
acsch

Step-by-step explanation

Problem to solve:

$\frac{1-\cos\left(x\right)}{\sin\left(x\right)}-\frac{\sin\left(x\right)}{1-\cos\left(x\right)}=2\csc\left(x\right)\cot\left(x\right)$

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

$\frac{1-\cos\left(x\right)}{\sin\left(x\right)}+\frac{-\sin\left(x\right)}{1-\cos\left(x\right)}=2\csc\left(x\right)\cot\left(x\right)$

Unlock this full step-by-step solution!

Learn how to solve trigonometric equations problems step by step online. Solve the trigonometric equation (1-cos(x))/(sin(x)-(sin(x)/(1-cos(x))=2csc(x)*cot(x). Multiplying the fraction by -1. Grouping terms. Unifying fractions with different denominator. Multiplying polynomials \sin\left(x\right) and 1-\cos\left(x\right).

Answer

$x=\frac{\pi}{2},\:x=-\frac{\pi}{2}$

Problem Analysis

$\frac{1-\cos\left(x\right)}{\sin\left(x\right)}-\frac{\sin\left(x\right)}{1-\cos\left(x\right)}=2\csc\left(x\right)\cot\left(x\right)$

Related formulas:

1. See formulas

Time to solve it:

~ 2.55 seconds