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Solve the equation $\left(1-x\sin\left(x\right)^2\right)\left(1-x\tan\left(x\right)^2\right)=1$

Step-by-step Solution

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Final Answer

$x=0$
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Step-by-step Solution

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Multiplying polynomials $1-x\sin\left(x\right)^2$ and $1-x\tan\left(x\right)^2$

$1-x\sin\left(x\right)^2-x\left(1-x\sin\left(x\right)^2\right)\tan\left(x\right)^2=1$

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$1-x\sin\left(x\right)^2-x\left(1-x\sin\left(x\right)^2\right)\tan\left(x\right)^2=1$

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Learn how to solve trigonometric equations problems step by step online. Solve the equation (1-sin(x)^2x)(1-tan(x)^2x)=1. Multiplying polynomials 1-x\sin\left(x\right)^2 and 1-x\tan\left(x\right)^2. Simplify the product -(1-x\sin\left(x\right)^2). Multiply the single term x\tan\left(x\right)^2 by each term of the polynomial \left(-1+x\sin\left(x\right)^2\right). Group the terms of the equation by moving the terms that have the variable x to the left side, and those that do not have it to the right side.

Final Answer

$x=0$

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Solving a math problem using different methods is important because it enhances understanding, encourages critical thinking, allows for multiple solutions, and develops problem-solving strategies. Read more

Solve for xFind the rootsSolve by completing the squareSolve by quadratic formula (general formula)Find break even pointsFind the discriminant

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Function Plot

Plotting: $\left(1-x\sin\left(x\right)^2\right)\left(1-x\tan\left(x\right)^2\right)-1$

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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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