What is 2cos^2(x)+sin^2(x) ?

The solution to 2cos^2(x)+sin^2(x) is -sin^2(x)+2

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simplify 2cos^2(x)+sin^2(x)

simplify

2 cos^{2} (x) + sin^{2} (x)

- sin^{2} (x) + 2

Solution steps

2 cos^{2} (x) + sin^{2} (x)

Rewrite using trig identities

= - sin^{2} (x) + 2

(x^{2} + 5 x - 6) - (x^{2} - 4)

(- 5)^{\frac{1}{2}}

\frac{x ^{12}}{x ^{5}}

\frac{3 ( x + 2 ) ( x - 1 )}{6 ( x - 1 )}

2 x - 4 x^{3}