Questions asked by zoe

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• How do I prove that #(3-6 cos^2 x)/(sin x- cos x)# = 3(sin x + cos x)?
  
• How do I show that #cos theta/ (1 + sin theta)# + #(1+ sin theta)/cos theta# = 2 sec #theta# ?
  
• How do I prove that #sin^2x# + #tan^2xsin^2x# = #tan^2x# ?
  
• How do I solve #sec^2x# + 2 #tan^2x# =4?
  
• How do I simplify #(3sqrt3 - 1)^2 / (2sqrt3 - 3)# ?
  
• Given that #2^(x-3)/8^(2y-3)# = #16^(x-y)# , show that #3x + 2y = 6# ?
  
• How do I solve #4 sin x + 9 cos x = 0# for #0 < x < 360# ?
  
• How do I solve #3 sin x+2 tan x=0# for #0<=x<=360# ?
  
• How do I solve #3 sin x+2 tan x=0# for #0°<x<360°# ?
  
• How do I solve #2 csc (z+pi/4)=5# for #0<=z<=6# radians?
  
• How do I solve #2 cos^2 x-sin x+1=0# for #0° <=x<=360°#?
  
• How do you solve #tan^2x-2sec x+1=0# for #0°<=x<=360°# ?
  
• How do I prove that #1/(sec A+1)+1/(sec A-1)#=#2 csc A cot A# ?
  
• How do I prove the identity #tan theta sin theta + cos theta -= sec theta# ?
  
• How do you find the set of values for #k# which the line #x+3y=k# intersects the curve #y^2=2x+3# at 2 real and distinct points?
  
• Given that #cos x =p# find an expression, in terms of #p#, for #tan^2 x#?
  
• How do I find the non-integer roots of the equation #x^3=3x^2+6x+2# ?
  
• How do I solve #2(sin x-cos x)=3(sin x+cos x)# ?
  
• How did the actions of Henry VIII lead to increased secularism, and possibly the spark of absolute monarchies?
  
• How did religion/ views on religion begin to change after the publication of Martin Luther's 95 Theses?
  
• How did the Scientific Revolution impact views on religion and society?
  
• On what interval(s) is the function #f(x)=5/x+58# increasing?
  
• How do I solve #log_sqrt5##0.2#?
  
• How do I solve #log_0.25[ (log_2 3)(log_3 4)]# ?
  
• How do I solve #(log_3 64) *(log_2 (1/27))# ?
  
• How do I solve #log_2 7 = log_2 (7/16)#?
  
• How do I solve #log_(2/3) (8/27)#?
  
• The number of mold spores in a petri dish increases by a factor of 10 every week. If there are initially 40 spores in the dish, how long will it take for there to be 2000 spores?
  
• How do I solve #3^(2x) - 5(3^x)=-6#?
  
• How do I solve #2 xx 3^x = 7 xx 5^x#?
  
• How do I solve #(2^x)^x=10#?
  
• Solve for #x#, given #3 log^2 (x-1) - 10 log (x-1) = -3#?
  
• Solve for #x#, given #x^((log_5 x)-2) = (x^2/(125))# ?
  
• How do I solve #log_2 5x+4=y?#
  
• How do I solve #sin x tan x - sin x = 0# for #(0,2pi)# ?
  
• How do I solve #3 tan^2 x - sec^2 x -5 = 0#?
  
• If #tan x = -7/24#; and #cos x > 0#; find all possible trigonometric ratios?
  
• How do I prove that #2 sin ((C+D)/2) cos ((C-D)/2) = sin C+sin D#?
  
• Solve for #a#: #2 tan x - tan 2x +2a=1-tan2x tan^2 x# ?
  
• How do I prove #(sec x/cos x)+(csc x/sin x)=4 csc^2(2x)#?
  
• How do I solve #5 cos 2x-6sin x-1=0# for #(0,2pi)#?
  
• How do i prove that #csc 2x+cot 2x=cot x#?
  
• If #tan x=(-7)/24# and #cos x >0#, find all possible trigonometric ratios?
  
• How do I find the exact value of #cos ((5pi)/4)+cot((5pi)/3)#?
  
• How do I find #x#: #2 sin x cos x-1=cos2x#?
  
• If #cos (pi/6) = (sqrt 3/2)#, how can I find #cos (pi/12)# using a double angle formula?
  
• How do I solve #cos x= (sqrt 2/2)# for #-2pi <=x<=2pi#?
  
• How do I solve #sin 2x=-1/2# for #0<=x<=2pi#?