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Solve the trigonometric equation $\cos\left(x\right)\left(2\sin\left(x\right)-\sqrt{3}\right)=0$

Step-by-step Solution

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Final Answer

$x=\frac{1}{2}\pi+2\pi n,\:x=\frac{3}{2}\pi+2\pi n,\:x=\frac{1}{3}\pi+2\pi n,\:x=\frac{2}{3}\pi+2\pi n\:,\:\:n\in\Z$
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Step-by-step Solution

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1

Calculate the square root of $3$

$\cos\left(x\right)\left(2\sin\left(x\right)-\sqrt{3}\right)=0$

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$\cos\left(x\right)\left(2\sin\left(x\right)-\sqrt{3}\right)=0$

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Learn how to solve trigonometric equations problems step by step online. Solve the trigonometric equation cos(x)(2sin(x)-3^1/2)=0. Calculate the square root of 3. Multiply -1 times \sqrt{3}. Break the equation in 2 factors and set each equal to zero, to obtain. Solve the equation (1).

Final Answer

$x=\frac{1}{2}\pi+2\pi n,\:x=\frac{3}{2}\pi+2\pi n,\:x=\frac{1}{3}\pi+2\pi n,\:x=\frac{2}{3}\pi+2\pi n\:,\:\:n\in\Z$

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Function Plot

Plotting: $\cos\left(x\right)\left(2\sin\left(x\right)-\sqrt{3}\right)$

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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

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Main Topic: Trigonometric Equations

A trigonometric equation is an equation in which one or more trigonometric ratios appear.

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