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Popular >

sin^3(x)sin^2(x)sin(x)=0

Solution

sin^{3} (x) sin^{2} (x) sin (x) = 0

Solution

x = 2 πn, x = π + 2 πn

+1

Solution steps

sin^{3} (x) sin^{2} (x) sin (x) = 0

Simplify

sin^{3} (x) sin^{2} (x) sin (x) : sin^{6} (x)

sin^{6} (x) = 0

Using the Zero Factor Principle:

If

ab = 0

then

a = 0

or

b = 0

sin (x) = 0

The solution is

sin (x) = 0

General solutions for

sin (x) = 0

x = 0 + 2 πn, x = π + 2 πn

Solve

x = 0 + 2 πn : x = 2 πn

x = 2 πn, x = π + 2 πn

Popular Examples

2cos^2(x)+1=cos^2(x)

2 cos^{2} (x) + 1 = cos^{2} (x)

sin^2(x)cos^2(x)=((1-cos^4(x)))/8

sin^{2} (x) cos^{2} (x) = \frac{( 1 - cos ^{4} ( x ) )}{8}

sin^3(x)+sin(x)=2sin^{22}(x)

sin^{3} (x) + sin (x) = 2 sin^{22} (x)

(1+tan^2(x))/(1+sec(x))=sec(x)

\frac{1 + tan ^{2} ( x )}{1 + sec ( x )} = sec (x)

-sin^2(x)+2cos(x)-2=0

- sin^{2} (x) + 2 cos (x) - 2 = 0

Frequently Asked Questions (FAQ)

What is the general solution for sin^3(x)sin^2(x)sin(x)=0 ?
The general solution for sin^3(x)sin^2(x)sin(x)=0 is x=2pin,x=pi+2pin