Is sin(3x)=3sin(x)cos^2(x)-sin^2(x) ?

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

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prove sin(3x)=3sin(x)cos^2(x)-sin^2(x)

prove

sin (3 x) = 3 sin (x) cos^{2} (x) - sin^{2} (x)

False

Solution steps

sin (3 x) = 3 sin (x) cos^{2} (x) - sin^{2} (x)

Show that the two sides are not equal

For

sin (3 x) = 3 sin (x) cos^{2} (x) - sin^{2} (x)

plug in

x = 1

sin (3 \cdot 1) = 0.14112 \dots

sin (3 \cdot 1)

Refine to a decimal form

= 0.14112 \dots

3 sin (1) cos^{2} (1) - sin^{2} (1) = 0.02886 \dots

3 sin (1) cos^{2} (1) - sin^{2} (1)

Refine to a decimal form

= 0.02886 \dots

The two sides are not equal

\Rightarrow False

cos (θ) - cos^{3} (θ) = sin^{2} (cos (θ))

\frac{1}{tan ( β ) + cot ( β )} = sin (β) cos (β)

cos^{2} (x) = \frac{( csc ^{2} ( x ) - 1 )}{csc ^{2} ( x )}

cos (30 0^{\circ}) = 1 - 2 sin^{2} (15 0^{\circ})

csc^{2} (x) + 3 cot^{2} (x) - 5 = 4 (cot (x) - 1)

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