1.

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)`

Answer» 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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