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UsefulRelations1

# UsefulRelations1 - Useful Relations Pythagorean...

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Useful Relations Pythagorean Identity: “trig-squares identities”: sin 2 x + cos 2 x = 1 sin 2 x = 1 2 (1 cos 2 x ) tan 2 x + 1 = sec 2 x cos 2 x = 1 2 (1 + cos 2 x ) 1 + cot 2 x = csc 2 x some derivatives: d dx (tan x ) = sec 2 x d dx (cot x ) = csc 2 x d dx (sec x ) = sec x tan x d dx (csc x ) = csc x cot x d dx (sin 1 x ) = 1 1 x 2 d dx (cos 1 x ) = 1 1 x 2 d dx (tan 1 x ) = 1 1 + x 2 some integrals: tan x dx = ln sec x + C cot x dx = ln sin x + C sec x dx = ln sec x + tan x + C csc x dx = ln csc x cot x + C infinitesimal arclength element: ds = dx 2 + dy

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UsefulRelations1 - Useful Relations Pythagorean...

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