Question

solve over the interval [0,360)
5cot^2 theta -cot theta = 2

Answer 1

Try to put :
\[x=\cot\theta\]
And find the solution to the new equation of x :)

Answer 2

i got (1±√41)/10 but i dont know where to go from there

Answer 3

its 1 plus or minus the square root of 41 over 10

Answer 4

OK ! After that you have :
\[\cot\theta=\frac{1+\sqrt{41}}{10}\text{ or }\cot\theta=\frac{1-\sqrt{41}}{10}.\]
Solve each equation and you will get the solution .

Answer 5

so there is no need for me to convert it to tan before i solve to find the solution?

Answer 6

The answer would be 0.74, because -0.5 will not fit in the interval.