proof left as an exercise

06082022, 11:12 AM
Post: #7




RE: proof left as an exercise
(06082022 01:50 AM)Albert Chan Wrote: Another proof, letting t = tan(10°) We could simplify previous proof, by getting t² in terms of t t²*t = √3*t² + 3t  1/√3 t² = (3t  1/√3) / (t  √3) 2*cos(30°) / (1 + 4*cos(20°)) = √3 / (1 + 4*(1t²)/(1+t²)) = (1/√3  t) / (1 + (1/√3)*t) = (tan(30°)  tan(10°)) / (1 + tan(30°)*tan(10°)) = tan(20°) 

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Messages In This Thread 
proof left as an exercise  Thomas Klemm  06062022, 11:41 PM
RE: proof left as an exercise  Ángel Martin  06072022, 05:05 AM
RE: proof left as an exercise  Thomas Klemm  06072022, 05:32 AM
RE: proof left as an exercise  Albert Chan  06072022, 05:36 PM
RE: proof left as an exercise  Albert Chan  06072022, 06:17 PM
RE: proof left as an exercise  Albert Chan  06082022, 01:50 AM
RE: proof left as an exercise  Albert Chan  06082022 11:12 AM
RE: proof left as an exercise  Thomas Klemm  06082022, 11:18 PM
RE: proof left as an exercise  Albert Chan  06092022, 12:35 AM
RE: proof left as an exercise  Albert Chan  07012022, 07:51 PM
RE: proof left as an exercise  Albert Chan  07022022, 11:44 PM

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