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For what value of 'a' do the roots of the equation cos x = a form an AP

For what value of 'a' do the roots of the equation cos x = a form an AP

Grade:12

1 Answers

bharat bajaj IIT Delhi
askIITians Faculty 122 Points
7 years ago
cos x = a ⇒ x = 2nπ ± cos-1a
When a= - 1
x = 2nπ + cos-1(-1)
x = 2nπ + π where n ∈ I
x = ..., - 3π, -π, π, 3π, ... , which is an AP
Hence, a = -1..
Thanks&Regards
Bharat Bajaj
askiitian faculty
IIT Delhi

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