To prove that tan &#x2061;<!-- ⁡ -->

Bruno Pittman

Bruno Pittman

Answered question

2022-07-01

To prove that tan 70 = tan 20 + 2 tan 50

Answer & Explanation

Darrell Valencia

Darrell Valencia

Beginner2022-07-02Added 10 answers

tan 70 tan 20 = sin 70 cos 70 sin 20 cos 20 = sin 70 cos 20 cos 70 sin 20 cos 20 cos 70 = sin ( 70 20 ) cos 20 cos 70 = sin 50 cos 20 cos 70 = sin 50 cos 20 . sin ( 20 ) = 2 sin 50 2 sin 20. cos 20 = 2 sin 50 sin 40 = 2 sin 50 cos ( 90 40 ) = 2 sin 50 cos 50 = 2 tan 50

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