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Grade 12th passTrigonometry

If tan mƟ = tan nƟ, then the different values of Ɵ will be

Profile image of PARTHA PRATIM MONDAL
5 Years agoGrade 12th pass
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1 Answer

Profile image of Krish Kumar
5 Years ago
If m = n, then, tan(mθ) = tan(nθ) has infinite solutions.
 
But
 
If m ≠ n, then,
mθ = kπ + nθ where k is any integer.
(because the solutions of tan(x) = tanα are given by x = kπ + α where k is any integer.
So, θ(m-n) = kπ
Hence, θ = kπ/(m-n)

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