Questions asked by mimi

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• #4sin(2x)=tanx#, solve for x (for #0<=x<=360#). I'm getting 7 answers, but only 4 answers are listed, and they are between #0# and #180#. Can somebody solve this?
  
• #sin(2x)=2cos(2x)-1#, solve for #x# (#0<=x<=180#). Can somebody please solve this?
  
• #2cos(3x)=2+sin(3x)#, solve for #x# (#0<=x<=180#). solve this please?
  
• "After showing that #2sectheta-tantheta=3# can be written as #sqrt10cos(theta-18.4)=2#, solve for #theta# (#0<theta<360#)". I proved the first part, can somebody please solve for #theta#?
  
• The angle #theta# satisfies #tan(2theta)=sintheta#. Show that either #sintheta=0# or #2costheta=2cos^2theta-1# (i did this). Hence find the smallest possible value of #theta#?
  
• Which quadrants should be considered when solving #cosx=(sqrt2)/4# for #0^@<=x<=360^@#, and why?