Is sin(x-pi)=sin(x)-sin(pi) ?

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

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prove sin(x-pi)=sin(x)-sin(pi)

prove

sin (x - π) = sin (x) - sin (π)

False

Solution steps

sin (x - π) = sin (x) - sin (π)

Show that the two sides are not equal

For

sin (x - π) = sin (x) - sin (π)

plug in

x = 1

sin (1 - π) = - 0.84147 \dots

sin (1 - π)

Refine to a decimal form

= - 0.84147 \dots

sin (1) - sin (π) = 0.84147 \dots

sin (1) - sin (π)

Refine to a decimal form

= 0.84147 \dots

The two sides are not equal

\Rightarrow False

cos (- \frac{2}{3} π) = cos (\frac{4 π}{3})

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

6 cos^{2} (A) - 5 = 1 - 6 sin^{2} (A)

sin (x) + \frac{cot ( x )}{sec ( x )} = csc (x)

\frac{sin ( 2 θ )}{sin ( θ )} = 2

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