Is sin(3x)=3sin(x)-4sin(3x) ?

The answer to whether sin(3x)=3sin(x)-4sin(3x) is False

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prove sin(3x)=3sin(x)-4sin(3x)

prove

sin (3 x) = 3 sin (x) - 4 sin (3 x)

False

Solution steps

sin (3 x) = 3 sin (x) - 4 sin (3 x)

Show that the two sides are not equal

For

sin (3 x) = 3 sin (x) - 4 sin (3 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) - 4 sin (3 \cdot 1) = 1.95993 \dots

3 sin (1) - 4 sin (3 \cdot 1)

Refine to a decimal form

= 1.95993 \dots

The two sides are not equal

\Rightarrow False

cos (2 b + b) = 4 cos^{3} (b) - 3 cos (b)

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

\frac{sin ^{2} ( x )}{cos ^{2} ( x )} = tan (x)

sin (x) tan (x) = sec (x) (1 - cos^{2} (x))

4 \cdot sin (\frac{x}{4}) \cdot cos (\frac{x}{4}) cos (\frac{x}{2}) = sin (x)

Is sin(3x)=3sin(x)-4sin(3x) ?
The answer to whether sin(3x)=3sin(x)-4sin(3x) is False