Identity Properties of Sine, Cosine, Tangent, Cosecant, Secant, and Cotangent
Reciprocal and Quotient ID: sec () =
1/cos ()
Reciprocal and Quotient ID: tan () =
1/cot ()
Reciprocal and Quotient ID: sin () =
1/csc ()
Reciprocal and Quotient ID: cos () =
1/sec ()
Reciprocal and Quotient ID: csc () =
1/sin ()
Reciprocal and Quotient ID: cot () =
1/tan ()
Odd-Even ID: Cosines?
cos [ -() ] = cos ()
Cofunction ID: sin () =
cos [ 2/pi - () ]
Odd-Even ID: Cotangents?
cot [ -() ] = -cot ()
Cofunction ID: tan () =
cot [ 2/pi - () ]
Pythagorean ID: cotangents and cosecants?
cot^2 () + 1 = csc^2 ()
Odd-Even ID: Cosecants?
csc [ -() ] = -csc ()
Cofunction ID: sec () =
csc [ 2/pi - () ]
Odd-Even ID: Secants?
sec [ -() ] = sec ()
Cofunction ID: csc () =
sec [ 2/pi - () ]
Odd-Even ID: Sines?
sin [ -() ] = -sin ()
Cofunction ID: cos () =
sin [ 2/pi - () ]
Pythagorean ID: sines and cosines?
sin^2 () + cos^2 () = 1
Odd-Even ID: Tangents?
tan [ -() ] = -tan ()
Cofunction ID: cot () =
tan [ 2/pi - () ]
Pythagorean ID: tangents and secants?
tan^2 () + 1 = sec^2 ()