Is cos(-pi/6)=sin((2pi)/3) ?

The answer to whether cos(-pi/6)=sin((2pi)/3) is True

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prove cos(-pi/6)=sin((2pi)/3)

prove

cos (- \frac{π}{6}) = sin (\frac{2 π}{3})

True

Solution steps

cos (- \frac{π}{6}) = sin (\frac{2 π}{3})

Manipulating left side

cos (- \frac{π}{6})

Use the negative angle identity:

cos (- x) = cos (x)

= cos (\frac{π}{6})

Simplify

= \frac{3}{2}

Manipulating right side

sin (\frac{2 π}{3})

Simplify

= \frac{3}{2}

We showed that the two sides could take the same form

\Rightarrow True

p ro v e sin (x + π) - sin (x) + 1 = 0

p ro v e csc (x) = csc (x) cos^{2} (x) + sin (x)

p ro v e (sin (x) + cos (x))^{2} = 1 + cos (2 x)

p ro v e sin (θ) \cdot tan (θ) \cdot cos (θ) = sin^{2} (θ)

p ro v e - sin (θ) = - sin (- θ)

Is cos(-pi/6)=sin((2pi)/3) ?
The answer to whether cos(-pi/6)=sin((2pi)/3) is True