DixieStark DixieStark

22-05-2018
Mathematics

contestada

Prove and show your work
cos t (sect -cos t)= sin^2 t
sin 0 cot 0= cos 0

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tramserran tramserran

22-05-2018

1) Manipulating the Left side
cost · sect - cos²t (Note: sect= 1/cost, cos²t = 1-sin²t)
cost · (1/cost) - (1 - sin²t)
   1 - 1 + sin²t
   0 + sin²t
   sin²t

2) Manipulating the Left side
sinФ · cotФ (Note: cotФ = cosФ/sinФ)
sinФ · (cosФ/sinФ)
(sinФ · cosФ)/sinФ
cosФ

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