Is 0sin(pi/2)+1=cos(2pi) ?

The answer to whether 0sin(pi/2)+1=cos(2pi) is True

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prove 0sin(pi/2)+1=cos(2pi)

prove

0 sin (\frac{π}{2}) + 1 = cos (2 π)

True

Solution steps

0 \cdot sin (\frac{π}{2}) + 1 = cos (2 π)

Manipulating left side

0 sin (\frac{π}{2}) + 1

Simplify

1 + 0 sin (\frac{π}{2}) : 1

= 1

Manipulating right side

cos (2 π)

Simplify

cos (2 π) : 1

= 1

We showed that the two sides could take the same form

\Rightarrow True

sin (x) = tan (x) \cdot cos (x)

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

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

sec (θ - π) = - sec (θ)

cos (0 + \frac{π}{2}) = - sin (θ)