Find the value of \(\displaystyle{\left({{\cos{{52}}}^{\circ}+}{{\cos{{68}}}^{\circ}+}{\cos{{172}}}^{\circ}\right)}\)

Miguel Hanson

Miguel Hanson

Answered question

2022-04-05

Find the value of
(cos52+cos68+cos172)

Answer & Explanation

Dubliddissefyf8

Dubliddissefyf8

Beginner2022-04-06Added 10 answers

Draw a unit circle and mark the unit vectors a at 68+52=120,b at 52 and c at 52172=120. Call e the unit vector on the positive X axis. Then the sum you are looking for is
cos52+cos68+cos172=b.e.+a.b.+b.c.
=b.(a+c+e)
=b.o
=0

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