prove 2tan(0)=sin(0)

Solution

prove

2 tan (0^{\circ}) = sin (0^{\circ})

True

Solution steps

2 tan (0) = sin (0)

Manipulating left side

2 tan (0)

Simplify

2 tan (0) : 0

= 0

Manipulating right side

sin (0)

Simplify

= 0

We showed that the two sides could take the same form

\Rightarrow True

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

cos^{2} (b) - sin^{2} (b) = 1 - 2 sin^{2} (b)

\frac{csc ( x )}{tan ( x ) + cot ( x )} = cos (x)

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

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