Simplify the trigonometric expression $\sin\left(\frac{11\pi }{12}\right)$

Step-by-step Solution

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ln
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sin
cos
tan
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asin
acos
atan
acot
asec
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sinh
cosh
tanh
coth
sech
csch

asinh
acosh
atanh
acoth
asech
acsch

Final answer to the problem

$\frac{\sqrt{\sec\left(\frac{11\pi }{12}\right)^2-1}}{\sec\left(\frac{11\pi }{12}\right)}$
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Step-by-step Solution

How should I solve this problem?

  • Express in terms of Secant
  • Find the derivative
  • Integrate using basic integrals
  • Verify if true (using algebra)
  • Verify if true (using arithmetic)
  • Integrate by partial fractions
  • Product of Binomials with Common Term
  • FOIL Method
  • Integrate by substitution
  • Integrate by parts
  • Load more...
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1

Apply the trigonometric identity: $\sin\left(\theta \right)$$=\frac{\sqrt{\sec\left(\theta \right)^2-1}}{\sec\left(\theta \right)}$, where $x=\frac{11\pi }{12}$

$\frac{\sqrt{\sec\left(\frac{11\pi }{12}\right)^2-1}}{\sec\left(\frac{11\pi }{12}\right)}$

Final answer to the problem

$\frac{\sqrt{\sec\left(\frac{11\pi }{12}\right)^2-1}}{\sec\left(\frac{11\pi }{12}\right)}$

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Function Plot

Plotting: $\frac{\sqrt{\sec\left(\frac{11\pi }{12}\right)^2-1}}{\sec\left(\frac{11\pi }{12}\right)}$

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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.

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