The number of values of θ in the interval (-\pi/2,\pi/) such that θ ≠ {n\pi}/5 for n = 0, ±1, ± 2 and tanθ = cot5θ as well as sin 2θ = cos4θ is _____. [JEE Adv 2010 P1]

Trigonometric Functions & Equations

Section: Mathematics

Question : 26 of 30

Marks: +1, -0

The number of values of θ in the interval (−

,π/) such that θ ≠

nπ

for n = 0, ±1, ± 2 and tanθ = cot5θ as well as sin 2θ = cos4θ is _____.

[JEE Adv 2010 P1]

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