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Metamath Proof Explorer


Theorem coshalfpi

Description: The cosine of _pi / 2 is 0. (Contributed by Paul Chapman, 23-Jan-2008)

Ref Expression
Assertion coshalfpi ( cos ‘ ( π / 2 ) ) = 0

Proof

Step Hyp Ref Expression
1 sinhalfpilem ( ( sin ‘ ( π / 2 ) ) = 1 ∧ ( cos ‘ ( π / 2 ) ) = 0 )
2 1 simpri ( cos ‘ ( π / 2 ) ) = 0