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

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Solution

Formulas

Videos

Proof why tan(x) = sin(x)/cos(x)

https://www.youtube.com/watch?v=MepxHME-LXw

Simplifying basic trig identities - Math homework answers sec(x) (sin(x)/tan(x))

https://www.youtube.com/watch?v=JEv8uSt26bI

Pre-Calculus - creating a monomial denominator to simplify my expression sinx/ (cot^2(x)+1)

https://www.youtube.com/watch?v=m7VqkIkvuEE

Pre-Calculus - How to simplify a trigonometric expression by squaring a binomial (sin(x)+cos(x))^2

https://www.youtube.com/watch?v=e5IczuZxvVI

Pre-Calculus - Find the value of the trigonometric expression using inverse, sec( arc tan(-3/5))

https://www.youtube.com/watch?v=TeU5rYG8rqo

Tutorial - Simplify a rational trigonometric expression 24, ((sinx)^2 - (cosx)^2) / (1 - 2(cosx)^2)

https://www.youtube.com/watch?v=taFMJ3iNVhM

Function Plot

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

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a
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(◻)
+
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◻/◻
/
÷
◻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

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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 (2)

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