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Trigonometric Functions and Equations question

2009 · Shift 1 · Q35

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JEE Advanced
Mathematics
Trigonometric Functions and Equations
2009 · Shift 1 · Q35

Trigonometric Functions and Equations question

2009 · Shift 1 · Q35

JEE AdvancedMathematicsTrigonometric Functions and EquationsMultiple correct+4 / −2

If

{{{{\sin }^4}x} \over 2} + {{{{\cos }^4}x} \over 3} = {1 \over 5},

then

A
${\tan ^2}x = {2 \over 3}$
B
${{{{\sin }^8}x} \over 8} + {{{{\cos }^8}x} \over {27}} = {1 \over {125}}$
C
${\tan ^2}x = {1 \over 3}$
D
${{{{\sin }^8}x} \over 8} + {{{{\cos }^8}x} \over {27}} = {2 \over {125}}$

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