show that cos55+cos 65+175=0
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(cos55+cos65)+175
=2cos(55+65/2)cos(55-65/2)+175
=2cos(120/2)cos(-10/2)+175
2cos60cos(-5)+175
=2×1/2 cos5+175
=cos5+cos(180-5)
=cos5-cos5
=0
=2cos(55+65/2)cos(55-65/2)+175
=2cos(120/2)cos(-10/2)+175
2cos60cos(-5)+175
=2×1/2 cos5+175
=cos5+cos(180-5)
=cos5-cos5
=0
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