Kay's Math: Trigonometric identities

$Trigonometric\;identities\\Pythagoras\;identities\\1).\cos^{2}x+sin^{2}x=1\\2).\1+tan^{2}x=sec^{2}x\\3).\1+cot^{2}x=cosec^{2}x$

$Double\;angle\;formula\\sin2A=2 sinA cos A\\cos2A=cos^{2}x-sin^{2}x\;=2cos^{2}x-1\;=\;1-2sin^{2}x$

$Compound\;angle\;formula\\\\sin(A+B)=sinAcosB+cosAsinB\\sin(A-B)=sinAcosB-cosAsinB\\cos(A+B)=cosAcosB-sinAsinB\\cos(A-B)=cosAcosB+sinAsinB\\tan(A+B)=\frac{tanA+tanB}{1-tanAtanB}\\tan(A-B)=\frac{tanA-tanB}{1+tanAtanB}$

Kay's Math

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Tuesday, October 17, 2023

Trigonometric identities

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