# 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:

$\csc\left(x\right)\cdot\tan\left(x\right)=\sec\left(x\right)$

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

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

Learn how to solve trigonometric identities problems step by step online. Prove the trigonometric identity csc(x)tan(x)=sec(x). Apply the trigonometric identity: \tan\left(x\right)=\frac{1}{\cot\left(x\right)}. Multiply the fraction and term. Applying the cosecant identity: \displaystyle\csc\left(\theta\right)=\frac{1}{\sin\left(\theta\right)}. Divide fractions \frac{\frac{1}{\sin\left(x\right)}}{\cot\left(x\right)} with Keep, Change, Flip: \frac{a}{b}\div c=\frac{a}{b}\div\frac{c}{1}=\frac{a}{b}\times\frac{1}{c}=\frac{a}{b\cdot c}.

true
$\csc\left(x\right)\cdot\tan\left(x\right)=\sec\left(x\right)$

### Main topic:

Trigonometric Identities

### Time to solve it:

~ 0.03 s (SnapXam)