Is sin(x)(sin(2x))=sin(3x) ?

The answer to whether sin(x)(sin(2x))=sin(3x) is False

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prove sin(x)(sin(2x))=sin(3x)

prove

sin (x) (sin (2 x)) = sin (3 x)

False

Solution steps

sin (x) sin (2 x) = sin (3 x)

Show that the two sides are not equal

For

sin (x) sin (2 x) = sin (3 x)

plug in

x = 1

sin (1) sin (2 \cdot 1) = 0.76514 \dots

sin (1) sin (2 \cdot 1)

Refine to a decimal form

= 0.76514 \dots

sin (3 \cdot 1) = 0.14112 \dots

sin (3 \cdot 1)

Refine to a decimal form

= 0.14112 \dots

The two sides are not equal

\Rightarrow False

p ro v e (cos (θ))^{2} (sec (θ))^{2} = 1

p ro v e sin (β) = \frac{1}{4}

p ro v e 3 - 6 sin^{2} (x) = 0

p ro v e cos^{4} (θ) = \frac{1}{4} + \frac{cos ( 2 θ )}{2} + \frac{cos ^{2} ( 2 θ )}{4}

p ro v e sin (x) (tan^{2} (x) + 1) = tan (x) sec (x)

Is sin(x)(sin(2x))=sin(3x) ?
The answer to whether sin(x)(sin(2x))=sin(3x) is False