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Trigonometric Functions and Equations question

2015 · Shift 1 · Q22

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PYQ Library
JEE Advanced
Mathematics
Trigonometric Functions and Equations
2015 · Shift 1 · Q22

Trigonometric Functions and Equations question

2015 · Shift 1 · Q22

JEE AdvancedMathematicsTrigonometric Functions and EquationsNumerical+4 / −1

The number of distinct solutions of the equation

{5 \over 4}{\cos ^2}\,2x + {\cos ^4}\,x + {\sin ^4}\,x + {\cos ^6}\,x + {\sin ^6}\,x\, = \,2

in the interval

\left[ {0,\,2\pi } \right]

is

Numerical answer

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