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sin - reciprocal identities
sin = 1/csc
cos - reciprocal identities
1/sec
tan - reciprocal identities
1/cot
csc - reciprocal identities
1/sin
sec - reciprocal identities
1/cos
cot - reciprocal identities
1/tan
tan - quotient identities
sin/cos
tan² - quotient identities
sin²/cos²
cot - quotient identities
cos/sin
cot^ - quotient identities
cos²/sin²
pythagorean identities - 9 (can’t be square rooted, for any pythagorean identity)
cos² + sin² = 1
pythagorean identities - 10
1 + tan² = sec²
pythagorean identities - 11
1 + cot² = csc²