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f(x)=sin(x)^2-cos(x)^24sin(x)^2cos(x)^2−6−5−4−3−2−10123456−3-2.5−2-1.5−1-0.500.511.522.53xy

Exercise

(sen2−cos2x)+4sen2x .cos2x\left(sen^2-cos^2x\right)+4sen^2x\:.cos^2x

Step-by-step Solution

1

Factoring by cos⁡(x)2\cos\left(x\right)^2

sin⁡(x)2+cos⁡(x)2(−1+4sin⁡(x)2)\sin\left(x\right)^2+\cos\left(x\right)^2\left(-1+4\sin\left(x\right)^2\right)

Final answer to the exercise

sin⁡(x)2+cos⁡(x)2(−1+4sin⁡(x)2)\sin\left(x\right)^2+\cos\left(x\right)^2\left(-1+4\sin\left(x\right)^2\right)

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(sen2−cos2x)+4sen2x .cos2x
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