Trig Identities & Antiderivatives

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Last updated 12:04 AM on 9/3/26

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cos² x (Half-angle identity)

½ (1 + cos (2x))

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sin² x (Half-angle identity)

½ (1 - cos (2x))

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Pythagorean identity (cos and sin)

sin² x + cos² x = 1

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Pythagorean identity (sec and tan)

tan² x + 1 = sec² x

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∫ sec³ x dx

½ (sec x tan x + ln (|sec x + tan x|) + C

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∫ csc³ x dx

-1/2 (csc x cot x + ln (|csc x + cot x|) + C

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Pythagorean Identity (cot and csc)

cot² x + 1 = csc² x