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as per hernandez
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sec x
1/cos x
csc x
1/sin x
cot x
1/tan x
sin(a+B)
sinacosB + cosasinB
sin(a-B)
sinacosB - cosasinB
cos(a+B)
cosacosB + sinasinB
cos(a-B)
cosacosB - sinasinB
sin²x + cos²x
1
1 + tan²x
sec²x
1 + cot²x
csc²x
tan x
sin x/cos x
cot x (quotient identity)
cos x/sin x
sin (2x)
2sinxcosx
cos (2x)
cos²x - sin²x
cos (2x)
1 - 2sin²x
cos (2x)
2cos²x - 1