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[" 22.If "cot x(1+sin x)=4m" and "cot x(...

[" 22.If "cot x(1+sin x)=4m" and "cot x(1-sin x)=4n" ,prove that "(m^(2)-n^(2))^(2)=mn],[" 23.If "sin x+cos x=m," then prove that "sin^(6)x+cos^(6)x=(4-3(m^(2)-1)^(2))/(4)," where "m^(2)<=2],[" 4.If "a=sec x-tan x" and "b=csc x+cot x," then show that "ab+a-b+1=0" ."]

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