Questions asked by Boba

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• How do I simplify #((xsqrt(x)-ysqrt(y))/(x-sqrt(x)sqrt(y))-(x-y)/(sqrt(x)+sqrt(y)))*((sqrt(x)sqrt(y)+2x)/(3x))^-1# ?
  
• How to simplify #(sqrt [1/x^2-1]-1/x) * ((1-x) / [sqrt (1-x^2)-1+x] + sqrt(1+x) / (sqrt(1+x)-sqrt(1-x)))# ?
  
• How do you simplify #(1/sqrt(a-1)+sqrt(a+1))/(1/sqrt(a+1)-1/sqrt(a-1))div sqrt(a+1)/((a-1)sqrt(a+1)-(a+1)sqrt(a-1)),# a>1 ?
  
• How to solve #root(3)(2+sqrt(5))+root(3)(2-sqrt(5))#?
  
• How to solve #(1-a^2)÷(((1-a^(3/2))/(1-a^(1/2))+a^(1/2))*((1+a^(3/2))/(1+a^(1/2))-a^(1/2)))+1#, #a>=0, a≠1# ?
  
• What is the integral of #int sin^3xcos^2x dx# from #0# to #pi/2#?
  
• How to solve #3sqrt(lnx)+lnx=4#?
  
• If #sin2x=0 ⇔ x=(kpi)/2#, why isn't #sin5x=0 ⇔ x=(kpi)/5#?
  
• How to solve #2cos^2x+5cosx+2>=0# ?
  
• How to solve #4sin^2((3x+pi)/6)=3#?
  
• How do I solve the equation #cot({5pi}/12-x)+1=0#?
  
• How do I solve #2sin^2x-1=0#?
  
• How to solve #tan(x)=(cos(x)-sin(x))/(cos(x)+sin(x))#?
  
• How do I solve #(2sqrt2-2)cosalpha=3sin^2alpha+sqrt2-4#?
  
• How to solve #cos(pi/4-x)=sin(pi/6+x)#?
  
• How to solve #(sin^2(alpha+beta)-cos^2alpha-cos^2beta)/(sin(alpha+beta)-sin^2alpha-sin^2beta)# if #alpha=pi/3# and #beta=2pi/3#?
  
• How to solve #((cosx+1)/sinx)^2=1/3#?
  
• How to solve #1+2cos^2(x+pi/6)=3sin(pi/3-x)#?
  
• How to solve #sin3x<sinx#?
  
• How to solve #tg^2x-(1+sqrt3)tgx+sqrt3<0#?
  
• How do I solve #sinx-sqrt3sin3x+sin5x<0#?