Question

What the answer of 6sin^2(X) + 2cos^2(x)=5

Answer 1

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cos^2 (x)+sin^2(x)=1


cos^2 (x)=1-sin^2 (x)


6.sin^2 (x)+2 (1-sin^2 (x))=5


6sin^2 (x)+2-4sin^2 (x)=5


2sin^2 (x)=3


sin^2 (x)=3/2


cos^2 (x)+3/2=1


cos^2 (x)=1-3/2


cos^2 (x)= -1/3