Simplify the trigonometric expression $\sec\left(x\right)\sin\left(x\right)$

Step-by-step Solution

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Final answer to the problem

$\tan\left(x\right)$
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Step-by-step Solution

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Applying the secant identity: $\displaystyle\sec\left(\theta\right)=\frac{1}{\cos\left(\theta\right)}$

Learn how to solve simplify trigonometric expressions problems step by step online.

$\frac{1}{\cos\left(x\right)}\sin\left(x\right)$

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Learn how to solve simplify trigonometric expressions problems step by step online. Simplify the trigonometric expression sec(x)sin(x). Applying the secant identity: \displaystyle\sec\left(\theta\right)=\frac{1}{\cos\left(\theta\right)}. Multiplying the fraction by \sin\left(x\right). Apply the trigonometric identity: \frac{\sin\left(\theta \right)}{\cos\left(\theta \right)}=\tan\left(\theta \right).

Final answer to the problem

$\tan\left(x\right)$

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Function Plot

Plotting: $\tan\left(x\right)$

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

asin
acos
atan
acot
asec
acsc

sinh
cosh
tanh
coth
sech
csch

asinh
acosh
atanh
acoth
asech
acsch

How to improve your answer:

Main Topic: Simplify Trigonometric Expressions

Simplification of trigonometric expressions consists of rewriting an expression with trigonometric functions in a simpler form. To perform this task, we usually use the most common trigonometric identities, and some algebra.

Used Formulas

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