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Question Number 129019 by bramlexs22 last updated on 12/Jan/21

$$\mathrm{Find}\mathrm{the}\mathrm{value}\mathrm{of}$$$$3{(\sin \mathrm{x}-\cos \mathrm{x})}^4+6{(\sin \mathrm{x}+\cos \mathrm{x})}^2+$$$$4(\sin {}^6\mathrm{x}+\cos {}^6\mathrm{x}).$$

Answered by MJS_new last updated on 12/Jan/21

$$3{(s-\sqrt{1-s^2})}^4+6{(s+\sqrt{1-s^2})}^2+4(s^6+{(1-s^2)}^3)=$$$$=-12s\sqrt{1-s^2}-12s^4+12s^2+3+$$$$+12s\sqrt{1-s^2}+6+$$$$+12s^4-12s^2+4=13$$

Commented by bramlexs22 last updated on 12/Jan/21

$$\mathrm{amazing}\mathrm{prof}$$

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