Is sin(pi/2)=(sqrt(4))/2 ?

The answer to whether sin(pi/2)=(sqrt(4))/2 is True

prove sin(pi/2)=(sqrt(4))/2

prove

sin (\frac{π}{2}) = \frac{4}{2}

True

Solution steps

sin (\frac{π}{2}) = \frac{4}{2}

Manipulating left side

sin (\frac{π}{2})

Simplify

= 1

Manipulating right side

\frac{4}{2}

Simplify

\frac{4}{2} : 1

\frac{4}{2}

4 = 2

4

Factor the number:

4 = 2^{2}

= 2^{2}

Apply radical rule:

n a^{n} = a

2^{2} = 2

= 2

= \frac{2}{2}

Apply rule

\frac{a}{a} = 1

= 1

= 1

We showed that the two sides could take the same form

\Rightarrow True

sec (\frac{π}{4} + a) sec (\frac{π}{4} - a) = 2 sec (2 a)

cot^{2} (\frac{v}{2}) = \frac{( sec ( v ) + 1 )}{( sec ( v ) - 1 )}

cot (3) = \frac{cos ( 3 )}{sin ( 3 )}

cos (2 θ) - cos (θ) + 1 = 0

\frac{- sin ( - a )}{cos ( - a )} = tan (a)