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Aptitude · Q304

Trigonometry

Competitive Exams · Aptitude · question 304

Q304

The value of expression cos245° + cos2135° + cos2225° + cos2315° is:

A.
2
Answer
B.
C.
D.
1

Answer: Option A

Solution

Answer: Option A
Solution:
cos245° + cos2135° + cos2225° + cos2315°
= (cos245° + cos2315°) + (cos2135° + cos2225°)   [Here cos2α + cos2β = 1, where α + β = 360°]
= 1 + 1
= 2