# 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:

$\sin^2\left(x\right)\left(1+\cot^2\left(x\right)\right)=1$

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

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

Learn how to solve trigonometric equations problems step by step online. Solve the trigonometric equation sin(x)^2(1+cot(x)^2)=1. Multiply the equation by the reciprocal of \sin\left(x\right)^2. Apply the formula: \sin\left(x\right)^n=\csc\left(x\right)^{-n}, where n=-2. Grouping terms. Moving the term 1 to the other side of the equation with opposite sign.

true

### Problem Analysis

$\sin^2\left(x\right)\left(1+\cot^2\left(x\right)\right)=1$

### Main topic:

Trigonometric Equations

~ 0.07 seconds