Trigonometry

posted by .

How do I find all solutions to:

tanx+3cotx=4?

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

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

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 …

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