Solve the trigonometric equation $5-8\cos\left(x\right)=3+5\sin\left(x\right)^2$

Step-by-step Solution

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Final answer to the problem

$x=,\:x=\:,\:\:n\in\Z$
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Step-by-step Solution

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Move everything to the left hand side of the equation

$5-8\cos\left(x\right)-3-5\sin\left(x\right)^2=0$

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$5-8\cos\left(x\right)-3-5\sin\left(x\right)^2=0$

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Learn how to solve problems step by step online. Solve the trigonometric equation 5-8cos(x)=3+5sin(x)^2. Move everything to the left hand side of the equation. Subtract the values 5 and -3. Applying the trigonometric identity: \sin\left(\theta \right)^2 = 1-\cos\left(\theta \right)^2. Multiply the single term -5 by each term of the polynomial \left(1-\cos\left(x\right)^2\right).

Final answer to the problem

$x=,\:x=\:,\:\:n\in\Z$

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Function Plot

Plotting: $5-8\cos\left(x\right)-3-5\sin\left(x\right)^2$

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5
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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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