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06-06-2016
Mathematics

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Verify the identity.
cot ( theta - pi / 2 ) = - tan theta

Respuesta :

06-06-2016

cot(theta -pi/2) = cos(theta - pi/2)/sin(theta - pi/2)
using cosine and sin law
= [cos(theta)*cos(pi/2)+sin(theta)*sin(pi/2)] / [sin(theta)*cos(pi/2) - cos(theta) * sin(pi/2)]
by simplify it :
= sin(theta) / -cos(theta)
= -tan(theta)

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