Questions
The number of solutions of the trigonometric equations
a
6
b
8
c
10
d
12
detailed solution
Correct option is C
cosx.cos5x+cos2x=0 ⇒cosx=0 (or) cos5x+cosx=0⇒cosx=0, 2cos3x.cos2x=0⇒x=(2n+1)π2, 3x=(2n+1)π2, 2x=(2n+1)π2x=(2n+1)π2, x=(2n+1)π6, x=(2n+1)π4∴Set of solutions is {π2,3π2,π6,5π6,7π6,11π6,π4,3π4,5π4,7π4} ∵x∈0,2πTalk to our academic expert!
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