Value of \cos52^\circ+\cos68^\circ+\cos172^\circ?

Davian Lawson

Davian Lawson

Answered question

2022-04-21

Value of cos52+cos68+cos172?

Answer & Explanation

Daisy Patrick

Daisy Patrick

Beginner2022-04-22Added 16 answers

Note that,
cos(α±β)=cosαcosβ±sinαsinβ
and
cos(180al;pha)=cosα
Hence
cos52+cos68+cos172=cos(608)+cos(60+8)+cos(1808)
=2cos60cos8+(cos8)
=212cos6cos8
=0

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