# Step-by-step Solution

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:

$\frac{\csc^2a-1}{\csc a+1}=\frac{1}{\sin a}-1$

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

$\frac{\csc\left(a\right)^2-1}{\csc\left(a\right)+1}=\csc\left(a\right)-1$

Learn how to solve trigonometric equations problems step by step online. Solve the trigonometric equation (csc(a)^2-1)/(csc(a)+1)=1/(sin(a)-1. Applying the cosecant identity: \displaystyle\csc\left(\theta\right)=\frac{1}{\sin\left(\theta\right)}. Inverting the equation. Apply fraction cross-multiplication. Grouping terms.

true

### Problem Analysis

$\frac{\csc^2a-1}{\csc a+1}=\frac{1}{\sin a}-1$

### Main topic:

Trigonometric Equations

~ 0.06 seconds