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Quotient ID’s
tanx=sinx/cosx
cotx=cosx/sinx
Pythagorean ID
cos²x+sin²x=1
Sum ID →cos(a+b)
cosa x cosb - sina x sinb
Difference ID → cos(a-b)
cosa x cosb + sina x sinb
Sum ID → sin(a+b)
sina x cosb + sinb x cosa
Difference ID → sin(a-b)
sina x cosb - sinb x cosa
Double Angle ID → sin(2a)
2sinacosa
Double Angle ID → cos(2a)
cos²a - sin²a
1-2sin²a
2cos²a-1
Reciprocal Pythagorean ID
csc² x- cot²x=1
sec²x-tan²x=1