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Question
The value of cos 52° + cos 68° + cos 172° is ______.
Options
0
1
2
`3/2`
MCQ
Fill in the Blanks
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Solution
The value of cos 52° + cos 68° + cos 172° is 0.
Explanation:
cos 52° + cos 68° + cos 172°
= (cos 52° + cos 172°) + cos 68°
= 2 cos 112° cos 60° + cos 68°
= cos 112° + cos 68°
= 2 cos(90°) cos 22°
= 0
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Conversion Formulae in Trigonometry
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