Proof of trigonometric function , Exercises of Trigonometry

Proof of trigonometric function

Typology: Exercises

2017/2018

Uploaded on 01/26/2018

OSAMA-ALSATTARI
OSAMA-ALSATTARI 🇵🇸

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xercise: Prove that cot30 cot40= 1+ sec20 cot(40)cot(30)—1 cot(40) + cot(30) ence, cot(40)cot(30) = cot(70)(cot(40) + cot(30))+1 sin(20) J cos(20) = sin(20)sec(20) ence, cot(40)cot(30) = sin(20)sec(20)(cot(40) + cot(30))+1 ow, sin(20)(cot(40) + cot(30)) must equal 1 cos(40) cos(30) cos(40)sin(30) + cos(30)sin(40) + cot(40) + cot(30) = sin(40) * sin(30) — sin(40)sin(30) sin(70) _ cos(20) 1 olution: cot(30 + 40) = ut, cot(70) = tan(20) = 5sinao 4 2sin(20)cos(20) sin(20) .. sin(20)(cot(40) + cot(30)) = 1 > cot(40)cot(30) = 1 + sec(20) Mr.Osama Alsattari