The value for `2(sin^6theta+cos^6theta)-3(sin^4theta+cos^4theta)`+1 is

Explanation

We have


`2(sin^6+cos^6theta)-3(sin^4theta+cos^4theta)+1`


`=2[(sin^2theta)^3+(cos^2theta)^3]-3(sin^4theta+cos^4theta)+1`


`2[(sin^2theta+cos^2theta)(sin^4theta+cos^4theta-sin^2thetacos^2theta)]-4(sin^4theta+cos^4theta)+1`


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