A set of values of x, satisfying the equation cos2(12px)+cos2(12qx)=1 form an Arithmetic progression with common difference
A
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B
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C
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D
none
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Solution
The correct option is D none 1 + cos px + 1 + cos qx = 2 ⇒cos(p+q2)xcos(p−q2)x=0 ⇒x=(2n+1)πp+q or (2n+1)πp−q for n = 0, ±1,±2,......... forms an AP with common difference 2πp+q or 2πp−q