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Gretchen Schwartz

Gretchen Schwartz

Answered question

2022-07-03

Prove 4 sin ( 40 ) 3 = cot ( 50 )

Answer & Explanation

Dayana Zuniga

Dayana Zuniga

Beginner2022-07-04Added 16 answers

Note cot 50 = sin 40 cos 40
4 sin 40 3 cot 50 = 2 cos 40 ( 2 sin 40 cos 40 3 2 cos 40 1 2 sin 40 ) = 2 cos 40 ( sin 80 cos ( 40 30 ) ) = 0
Dayanara Terry

Dayanara Terry

Beginner2022-07-05Added 4 answers

4 sin 40 3 = 4 sin 40 sin 50 2 sin 60 sin 50 sin 50 =
= 2 cos 10 2 cos 90 cos 10 + cos 110 sin 50 =
= cos 10 + cos 110 sin 50 = 2 cos 60 cos 50 sin 50 = cot 50 .

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