prove 1/(sin(x))=2

Solution

prove

\frac{1}{sin ( x )} = 2

False

Solution steps

\frac{1}{sin ( x )} = 2

Show that the two sides are not equal

For

\frac{1}{sin ( x )} = 2

plug in

x = 1

\frac{1}{sin ( 1 )} = 1.18839 \dots

\frac{1}{sin ( 1 )}

Refine to a decimal form

= 1.18839 \dots

The two sides are not equal

\Rightarrow False

(cos (θ) - sin (θ))^{2} = 1 + sin (2 θ)

(4 sin (θ) + 4 cos (θ)) = 16 + 16 sin (2 θ)

5 sec^{2} (x) = 5 sec^{2} (- x)

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

- \frac{1}{2} = 2 sin (- \frac{π}{12}) cos (- \frac{π}{12})