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

Exercise

(senx + cos x)4\left(senx\:+\:cos\:x\right)^4

Step-by-step Solution

1

Expand the binomial (sin⁡(x)+cos⁡(x))4\left(\sin\left(x\right)+\cos\left(x\right)\right)^4

sin⁡(x)4+4sin⁡(x)3cos⁡(x)+6sin⁡(x)2cos⁡(x)2+4sin⁡(x)cos⁡(x)3+cos⁡(x)4\sin\left(x\right)^4+4\sin\left(x\right)^3\cos\left(x\right)+6\sin\left(x\right)^2\cos\left(x\right)^2+4\sin\left(x\right)\cos\left(x\right)^3+\cos\left(x\right)^4

Final answer to the exercise

sin⁡(x)4+4sin⁡(x)3cos⁡(x)+6sin⁡(x)2cos⁡(x)2+4sin⁡(x)cos⁡(x)3+cos⁡(x)4\sin\left(x\right)^4+4\sin\left(x\right)^3\cos\left(x\right)+6\sin\left(x\right)^2\cos\left(x\right)^2+4\sin\left(x\right)\cos\left(x\right)^3+\cos\left(x\right)^4

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(senx + cos x)4
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