Post a New Question

Trigonometry

posted by .

How do I find all solutions to:

tanx+3cotx=4?

The answer choices are:
a.) x=arctan3+nPi
b.) x=arccot3+nPi

  • Trigonometry -

    actually there are other answers ...

    tanx + 3cotx = 4
    tanx + 3/tanx = 4

    tan^2x + 3 = 4tanx
    tan^2x - 4tanx + 3 = 0
    (tanx - 1)(tanx - 3) = 0

    x = arctan 1 + npi or x = arctan3 + npi

  • Trigonometry -

    Thanks! :D

Respond to this Question

First Name
School Subject
Your Answer

Similar Questions

  1. Calculus

    Consider the function f(x)=sin(1/x) Find a sequence of x-values that approach 0 such that (1) sin (1/x)=0 {Hint: Use the fact that sin(pi) = sin(2pi)=sin(3pi)=...=sin(npi)=0} (2) sin (1/x)=1 {Hint: Use the fact that sin(npi)/2)=1 if …
  2. Calculus

    Consider the function f(x)=sin(1/x) Find a sequence of x-values that approach 0 such that (1) sin (1/x)=0 {Hint: Use the fact that sin(pi) = sin(2pi)=sin(3pi)=...=sin(npi)=0} (2) sin (1/x)=1 {Hint: Use the fact that sin(npi)/2)=1 if …
  3. Trigo

    Given that a^2+b^2=2 and that (a/b)= tan(45degee+x), find a and b in terms of sinx and cosx. I don't know what i'm supposed to do, and i don't come to an answer! Help, thanks! my workings: tan(45+x)= (1+tanx)/(1-tanx) a/b = (1+tanx)/(1-tanx) …
  4. Trigonometry

    Given that a^2+b^2=2 and that (a/b)= tan(45degee+x), find a and b in terms of sinx and cosx. I don't know what i'm supposed to do, and i don't come to an answer! Help, thanks! my workings: tan(45+x)= (1+tanx)/(1-tanx) a/b = (1+tanx)/(1-tanx) …
  5. Trigonometry

    How do I find all solutions in the interval [0,2Pi): sin2x=cos2x answer choices are: a.)Pi/8 b.) Pi/8, 5Pi/8, 9Pi/8, 13Pi/8
  6. Pre-Cal(Please check)

    1) Find all the solutions of the equation in the interval (0,2pi). sin 2x = -sqrt3/2 I know that the angles are 4pi/3 and 5pi/3 and then since it is sin I add 2npi to them. 2x = 4pi/6 + 2npi 2x = 5pi/3 + 2npi Now I know that I have …
  7. Pre-Cal(Please check)

    1) Find all the solutions of the equation in the interval (0,2pi). sin 2x = -sqrt3/2 I know that the angles are 4pi/3 and 5pi/3 and then since it is sin I add 2npi to them. 2x = 4pi/6 + 2npi 2x = 5pi/3 + 2npi Now I know that I have …
  8. Finance

    5. Next year, NPI expects net income of $16 million. Its plans to reinvest 0.5 of its earnings and pay out the 0.5 as dividends. Its cost of equity capital of 12%. If NPI earns a 16% rate of return on the funds reinvested, what is …
  9. Accounting

    6. Suppose NPI’s reinvestment rate on all future retained earnings were 12% instead of the 16% assumed in the previous problem. (Continue to assume initial earnings of $16 million.) If the dividend payout ratio were increased to …
  10. trig

    cos/sin use 2npi and tan uses npi, but how do you know when to add 2npi or npi to the solution of the equation?

More Similar Questions

Post a New Question