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

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

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

simplify

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

2

Solution steps

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

Rewrite using trig identities

= 2

\frac{1 + \frac{1}{x}}{2 - \frac{1}{x}}

sin (θ) cot (θ)

(1 - cos^{2} (x)) (1 + cot^{2} (x))

(3 x - 7) (2 x + 1)

- 12 + 9 - 2 \cdot (- 3^{2})