If F(x)=3[sin^(3pi/2-x)+sin^4(3pi-x)]-2[sin^6(pi/2+x)+sin^6(5pi-x)] then for all permissible value of x ,F(x) is optA -1 optB 0 optC 1 optD Not a constant function

Answers (1)
S Sayak

\\F(x)=3[sin(\frac{3\pi }{2}-x)+sin^{4}(3\pi -x)]-2[sin^{6}(\frac{\pi }{2}+x)+sin^{6}(5\pi -x)]\\ F(x)=3[-cosx+sin^{4}x]-2[cos^{6}x+sin^{6}x]

F(\frac{\pi }{2})=1

F(0)=-5

F(x) is not a constant function

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