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

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

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prove 2*sin(x)=sin(2x)

prove

2 \cdot sin (x) = sin (2 x)

False

Solution steps

2 sin (x) = sin (2 x)

Show that the two sides are not equal

For

2 sin (x) = sin (2 x)

plug in

x = 1

2 sin (1) = 1.68294 \dots

2 sin (1)

Refine to a decimal form

= 1.68294 \dots

sin (2 \cdot 1) = 0.90929 \dots

sin (2 \cdot 1)

Refine to a decimal form

= 0.90929 \dots

The two sides are not equal

\Rightarrow False

cot (\frac{π}{2} - θ) = \frac{sin ( θ )}{cos ( θ )}

\frac{sec ^{2} ( x )}{tan ( x )} = tan (x) + cot (x)

tan^{2} (A) (csc^{2} (A) - 1) = 1

cos^{3} (θ) = - 1

2 cot (x) cot (2 (x)) = cot^{2} (x) - 1