# 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 Solution

Problem to solve:

$\tan\left(x\right)\cdot \cos\left(x\right)\cdot \csc\left(x\right)=1$

Solving method

Learn how to solve problems step by step online.

$\frac{\tan\left(x\right)}{\sec\left(x\right)}\csc\left(x\right)=1$

Learn how to solve problems step by step online. Prove tan(x)cos(x)*csc(x)=1. Applying the cosine identity: \displaystyle\cos\left(\theta\right)=\frac{1}{\sec\left(\theta\right)}. Multiplying the fraction by \csc\left(x\right). The tangent function is inverse to the cotangent: \tan(x)=\frac{1}{\cot(x)}. Applying the secant identity: \displaystyle\sec\left(\theta\right)=\frac{1}{\cos\left(\theta\right)}.