Answers created by Bdub

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• Prove (sinx/1-cosx)=cscx+cotx ?
  
• How do you prove `sec^2(x)-tan^2(x)=1`?
  
• How do you verify `Tan(theta)csc(theta)= sec(theta)`?
  
• How do you verify `(2tan(x/2)) / (1+tan^2(x/2)) = sin x`?
  
• How do you prove the identity `(sinx - cosx)/(sinx + cosx) = (2sin^2x-1)/(1+2sinxcosx)`?
  
• How do you verify the identity `tan(x/2 + pi/4) = secx + tanx`?
  
• How do you prove `(tanx+cotx)/(secx+cscx)=1/(cosx+sinx)`?
  
• How do you verify the identity `1/(1-tan^2theta)+1/(1-cot^2theta)=1`?
  
• How do you verify the identity `sec^2theta+tan^2theta=sec^4theta-tan^4theta`?
  
• How do you verify that `sin^2x/(cos^4x+cos^2xsin^2x)=tan^2x`?
  
• How do you verify the identify `sectheta/csctheta=tantheta`?
  
• How do you prove `cos^2x(1-sec^2x)=-sin^2x`?
  
• How do you prove that `costheta/(1-sintheta) + costheta/(1+sintheta) = 2 /costheta`?
  
• How do you verify `sin(2pi-theta)=-sintheta`?
  
• How do you prove `sintheta=+-tantheta/(sqrt(1+tan^2theta))`?
  
• How do you prove `(sec(t)+1)(sec(t)-1)=tan^2(t)`?
  
• How do you prove `(1 + tan^2x)/(1-tan^2x) = 1/(cos^2x - sin^2x)`?
  
• How do you verify `sin^4x-cos^4x=1-2cos^2x`?
  
• How do you verify `sinx/(1-cosx) + (1-cosx)/sinx = 2cscx`?
  
• How do you prove `(cosx/(1 + sinx)) + (cosx/(1 - sinx)) = 2secx`?
  
• How do you verify the identity below?
  
• Question #ffd93
  
• Question #58780
  
• How do you solve the triangle given `triangleABC, a=15, b=19, mangleC=60`?
  
• How do you determine the number of possible triangles and find the measure of the three angles given `AB=14, BC=21, mangleC=75`?
  
• How do you determine the number of possible triangles and find the measure of the three angles given `b=12, c=10, mangleB=49`?
  
• How do you determine the number of possible triangles and find the measure of the three angles given `a=9, c=10, mangleC=150`?
  
• How do you determine the number of possible triangles and find the measure of the three angles given `a=8, b=10, mangleA=20`?
  
• Verfiy the identity sinx(cscx + sinxsec^2x)= sec^2 x?
  
• How do you use the quadratic formula to solve `3csc^2theta-2csctheta=2` for `0<=theta<360`?
  
• Question #b5a12
  
• How do you evaluate the expression `cos(u-v)` given `sinu=3/5` with `pi/2<u<p` and `cosv=-5/6` with `pi<v<(3pi)/2`?
  
• How do you convert `r cos(θ) = 9` into cartesian form?
  
• Question #e7954
  
• How do you convert `x=y²-6y+11` into polar form?
  
• How do you convert `(2,-1)` into polar form?
  
• How do you convert `(0, -5)` into polar form?
  
• How do you convert `(1, pi/4, 2)` into spherical form?
  
• How do you convert `Y=4x^2` into polar form?
  
• How do you convert `x^2+(y-4)^2=16` into polar form?
  
• How do you convert `y^2= 4(x+1)` into polar form?
  
• How do you convert `(theta)=(-7pi)/4` into cartesian form?
  
• How do you find rectangular coordinates for the point with polar coordinates (4, 4pi/3)?
  
• How do you convert (1, -4) into polar coordinates?
  
• The rectangular coordinates of a point are given `(4, -4sqrt3)`, how do you find polar coordinates of the point?
  
• How do you find the polar coordinate of the following point (-3, -2)?
  
• How do you convert the cartesian coordinate (2, -4) into polar coordinates?
  
• What is the projection of `< 5 , -6, 0 >` onto `< -1, -4 , 6 >`?
  
• Question #16fc9
  
• Prove this ?
  
• Question #d44e3
  
• Question #cf941
  
• Question #1d7ab
  
• How do you find the solution to `2costheta-1=0` if `0<=theta<360`?
  
• Question #9f5c3
  
• Question #2d38d
  
• Question #42ded
  
• How do you verify the identity `(tan^3alpha-1)/(tanalpha-1)=tan^2alpha+tanalpha+1`?
  
• How do you verify the identity `csc^4theta-cot^4theta=2csc^2theta-1`?
  
• How do you verify the identity `(tanx+tany)/(1-tanxtany)=(cotx+coty)/(cotxcoty-1)`?
  
• Question #40bb3
  
• Question #e4ae3
  
• How do you differentiate `log_3(9x^2sin(9x^2) )`?
  
• How do you differentiate `log(8x-1)`?
  
• What is the derivative of `log_10((x^2-1)/x)`?
  
• What is the derivative of `log_3((xsqrt(x-1))/2)`?
  
• How do you find the derivative of `y = log_3 [(x+1/x-1)^ln3]`?
  
• What is the derivative of `y=log_10(2x)`?
  
• How do you find the derivative of `ln[sqrt(2+x^2)/(2-x^2)]`?
  
• How do you differentiate `y=(x/e^x)Lnx`?
  
• How do you find the derivative of `f(x)=3e^2-7log_10x`?
  
• How do you find the derivative of `f(x)=ln(x^5(x-2)^3)`?
  
• How do you find the derivatives of `y=(3x-2)/(4x+3)` by logarithmic differentiation?
  
• Find the derivative of the following function using logarithmic differentiation?
  
• Question #1eff0
  
• How do you simplify `1-sin^2(pi/2-x)`?
  
• How do you factor and simplify `1000-cos^3u`?
  
• How do you express `sin^2 theta - sin theta + csc^2 theta` in terms of `cos theta`?
  
• How do you solve the equation `3csc^2x=4`?
  
• Solve the equation `2sin3x+sqrt3=0`?
  
• Question #246a9
  
• How do you simplify `Cos [tan^-1(-1) + cos^-1(-4/5)]`?
  
• How do you find the exact value of `tan(cos^-1 (1/2))`?
  
• Question #c4d83
  
• How do you use the sum to product formulas to write the sum or difference `sin60^circ+sin30^circ` as a product?
  
• How do you express `f(theta)=-cos^2(theta)-7sec^2(theta)-5sec^4theta` in terms of non-exponential trigonometric functions?
  
• How do you condense `1/4log_3a+5log_3b-log_3c`?
  
• How do you use the properties of logarithms to expand `log_3 (10z)`?
  
• How do you use the properties of logarithms to expand `lnsqrt(x^2(x+2))`?
  
• Question #32c44
  
• How do you use the properties of logarithms to expand `log_5 (5/x)`?
  
• Question #68cf7
  
• Question #cf786
  
• Question #348ea
  
• Question #a9ac6
  
• Question #63bfa
  
• Question #7987e
  
• Question #eabbb
  
• Question #45574
  
• Question #7facb
  
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