Questions
The values of x between 0 and which satisfy the equation are in A.P. The common difference of the A.P. is
a
π/8
b
π/4
c
3π/8
d
5π/8
detailed solution
Correct option is B
From the given equation we have 2sinx|cosx|=1/2⇒sin2x=1/2 if cosx>0 and sin2x=−1/2 if cosx<0∴ when cosx>0,sin2x=1/2⇒x=π/8,3π/8when cosx<0,sin2x=−1/2⇒x=5π/8,7π/8. so the required values of x areπ/8,3π/8,5π/8,7π/8which form an A.P. with common difference π/4.Talk to our academic expert!
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