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

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

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

prove

sin (x) = 3 sin (\frac{x}{2})

False

Solution steps

sin (x) = 3 sin (\frac{x}{2})

Show that the two sides are not equal

For

sin (x) = 3 sin (\frac{x}{2})

plug in

x = 1

sin (1) = 0.84147 \dots

sin (1)

Refine to a decimal form

= 0.84147 \dots

3 sin (\frac{1}{2}) = 0.83038 \dots

3 sin (\frac{1}{2})

Refine to a decimal form

= 0.83038 \dots

The two sides are not equal

\Rightarrow False

sin (θ) cos (θ) sec (θ) csc (θ) = 1

sin (\frac{π}{2} - 0) = cos (0)

sin (3 x) = sin (3 - 4 sin^{2} (x))

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

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

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