Math Formulas: Trigonometry Identities
21 sin( ) = sin cos sin cos 22 cos( + ) = cos cos sin cos 23 cos( ) = cos cos +sin cos 24 tan( + ) = tan +tan 1 tan tan 25 tan( ) = tan tan 1+tan tan Double Angle and Half Angle Formulas 26 sin(2 ) = 2 sin cos 27 cos(2 ) = cos2 sin2 28 tan(2 ) = 2 tan 1 2tan 29 sin 2 = r 1 cos 2 30 cos 2 = r 1+cos 2 31 tan 2 = 1 cos sin = sin 1 cos
Trigonometry Formulas and Properties
1 ∓tan ????????tan???????? Periodic Formulas: sin(????????+ 2????????????????) = sin???????? csc(????????+ 2????????????????) = csc ???????? cos(????????+ 2????????????????) = cos???????? sec(????????+ 2????????????????) = sec???????? tan(????????+ ????????????????) = tan???????? cot(????????+ ????????????????) = cot???????? Half-Angle
Formulas from Trigonometry
Formulas from Trigonometry: sin 2A+cos A= 1 sin(A B) = sinAcosB cosAsinB cos(A B) = cosAcosB tansinAsinB tan(A B) = A tanB 1 tanAtanB sin2A= 2sinAcosA cos2A= cos2 A sin2 A tan2A= 2tanA 1 2tan A sin A 2 = q 1 cosA 2 cos A 2 = q 1+cos A 2 tan 2 = sinA 1+cosA sin2 A= 1 2 21 2 cos2A cos A= 1 2 + 1 2 cos2A sinA+sinB= 2sin 1 2 (A+B)cos 1 2 (A 1B
Formulas from Trigonometry
Formulas from Trigonometry: sin 2A+ cos A= 1 sin(A B) = sinAcosB cosAsinB cos(A B) = cosAcosB tansinAsinB tan(A B) = A tanB 1 tanAtanB sin2A= 2sinAcosA cos2A= cos2 A sin2 A tan2A= 2tanA 1 2tan A sin A 2 = q 1 cosA 2 cos A 2 = q 1+cos A 2 tan 2 = sinA 1+cosA sin2 A= 1 2 21 2 cos2A cos A= 1 2 + 1 2 cos2A sinA+ sinB= 2sin 1 2 (A+ B)cos 1 2 (A 1B
Trigonometric Identities - Miami
tan 2 = sin 1+cos Double-Angle Formulas sin2 = 2sin cos cos2 = cos2 sin2 tan2 = 2tan 1 tan2 cos2 = 2cos2 1 cos2 = 1 2sin2 Product-to-Sum Formulas sinxsiny= 1 2
TRIGONOMETRY
sin cos tan sec csc opp adj hyp hyp opp adj cot adj opp hyp hyp adj opp θθ θθ θθ == == == sin cos tan sec csc yx rr yx cot x y rr x y θθ θθ θθ = = = = = = sin cos tan cot cos sin 11 sec csc cos sin x x xx x x xx x x == == Reduction Formulas Sum and Difference Formulas Pythagorean Identities sin( ) sin( ) cos( ) cos( ) tan( ) tan
Trigonometric Formula Sheet De nition of the Trig Functions
Identities and Formulas Tangent and Cotangent Identities tan = sin cos cot = cos sin Reciprocal Identities sin = 1 csc csc = 1 sin cos = 1 sec sec = 1 cos
Trig Cheat Sheet - Lamar University
cos hypotenuse q= hypotenuse sec adjacent q= opposite tan adjacent q= adjacent cot opposite q= Unit circle definition For this definition q is any angle sin 1 y q==y 1 csc y q= cos 1 x q==x 1 sec x q= tan y x q= cot x y q= Facts and Properties Domain The domain is all the values of q that can be plugged into the function sinq, q can be any
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