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Trigonometric Functions and Equations question

2010 · Shift 1 · Q29

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JEE Advanced
Mathematics
Trigonometric Functions and Equations
2010 · Shift 1 · Q29

Trigonometric Functions and Equations question

2010 · Shift 1 · Q29

JEE AdvancedMathematicsTrigonometric Functions and EquationsNumerical+4 / −1

The number of values of

\theta

in the interval,

\left( { - {\pi \over 2},\,{\pi \over 2}} \right)

such that

\,\theta e {{n\pi } \over 5}

for

n = 0,\, \pm 1,\, \pm 2

and

\tan \,\theta = \cot \,5\theta \,

as well as

\sin \,2\theta = \cos \,4 \theta

is

Numerical answer

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