Half Angle Trigonometric Identities calculator

Enter Angle:
Result:

Half Angle Trigonometric Identities Formula

sin (X/2) = + or - SQRT [ (1 - cosX) / 2 ]

cos (X/2) = + or - SQRT [ (1 + cosX) / 2 ]

tan (X/2) = + or - SQRT [ (1 - cosX) / (1 + cosX) ] = sinX / (1 + cosX) = (1 - cosX) / sinX

Trig half angle identities calculation for sine and cosine angle from the derived forumla is made easier here.

For example, When angle = 60º, sin( 60/2 ) =0.5, cos( 60/2 ) =0.86603, tan( 60/2 ) =0.57735.

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