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यदि `cos^(4)theta-sin^(4)theta=(2)/(3)` है तो `1-2sin^(2)theta` का मान क्या होगा?

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यदि `cos^(4)theta-sin^(4)theta=(2)/(3)` है तो `1-2sin^(2)theta` का मान क्या होगा?
A. `(4)/(3)`
B. `0`
C. `(2)/(3)`
D. `(1)/(3)`
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1 Answer

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Correct Answer - c
`cos^(2)theta-sin^(4)theta=(2)/(3)`
`rArr(cos^(@)theta-sin^(2)theta)(cos^(2)theta+sin^(2)theta)=(2)/(3)`
`rArrcos^(2)theta-sin^(2)theta=(2)/(3)`
`rArr1-sin^(2)theta-sin^(2)theta=(2)/(3)`
`rArr1-2sin^(2)theta=(2)/(3)`
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