$\frac{\sec\left(\theta\right)-\cos\left(\theta\right)}{\sin\left(\theta\right)}$

Step-by-step Solution

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Final answer to the problem

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

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Apply the trigonometric identity: $\sec\left(\theta \right)$$=\frac{1}{\cos\left(\theta \right)}$, where $x=\theta$

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

Learn how to solve simplifier des expressions trigonométriques problems step by step online.

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

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Learn how to solve simplifier des expressions trigonométriques problems step by step online. (sec(t)-cos(t))/sin(t). Apply the trigonometric identity: \sec\left(\theta \right)=\frac{1}{\cos\left(\theta \right)}, where x=\theta. Combine all terms into a single fraction with \cos\left(\theta\right) as common denominator. Apply the trigonometric identity: \sin\left(\theta \right)\cos\left(\theta \right)=\frac{\sin\left(2\theta \right)}{2}, where x=\theta. Apply the formula: \frac{a}{\frac{b}{c}}=\frac{ac}{b}, where a=1-\cos\left(\theta\right)^2, b=\sin\left(2\theta\right), c=2, a/b/c=\frac{1-\cos\left(\theta\right)^2}{\frac{\sin\left(2\theta\right)}{2}} and b/c=\frac{\sin\left(2\theta\right)}{2}.

Final answer to the problem

$\tan\left(\theta\right)$

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Function Plot

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

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7
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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

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