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Simplify the trigonometric expression $\frac{1+\cot\left(x\right)^2}{\sec\left(x\right)^2}+\cos\left(x\right)^2+\frac{1}{\csc\left(x\right)^2}$

Used Formulas

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Solution

Formulas

Videos

Trigonometric Identities

· Pythagorean identity of sine and cosine
$\sin\left(\theta \right)^2+\cos\left(\theta \right)^2=1$

Function Plot

Plotting: $\frac{\csc\left(x\right)^2+\sec\left(x\right)^2}{\sec\left(x\right)^2}$

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0
a
b
c
d
f
g
m
n
u
v
w
x
y
z
.
(◻)
+
-
×
◻/◻
/
÷
◻2
◻◻
√◻
√

◻√◻
◻√
∞
e
π
ln
log
log◻
lim
d/dx
D□x
∫
∫◻
|◻|
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:

Similar Problems Solved

$\left(\sin\left(x\right)+\cos\left(x\right)\right)^2$

$1+cot^2x$

$tan\left(x\right)csc\left(x\right)$

$\tan\left(x\right)\csc\left(x\right)$

$\frac{2+\tan^2\left(x\right)}{\sec^2\left(x\right)}-1$

$csc^2x-1$

$\frac{2+tan^2x}{sec^2x}-1$

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

See formulas (1)

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