Question

tan^2 theta= (-3/2)sec theta (what values satisfy the equation?)

Answer 1

use the identity tan^2 theta = sec^2 theta - 1

Answer 2

I dont have a calculator with me... how else can I solve this problem? I am so confused!

Answer 3

hehe, so you have a computer but not a calculator :/

Answer 4

plug this in to your equation yo get an equation in sec theta only
then solve for sec theta

Answer 5

that's almost like saying I don't have a car just a ferrari

Answer 6

you'll have a calculator on your computer

Answer 7

$$
tan^2(\theta)= -\cfrac{3}{2}sec(\theta)\\
\color{red}{1+tan^2(\theta) = sec(\theta)^2
\implies tan^2(\theta) = sec(\theta)^2-1}\\
sec(\theta)^2-1= -\cfrac{3}{2}sec(\theta)\\
2sec(\theta)^2-2= -3sec(\theta)\\
2sec(\theta)^2+3sec(\theta)-2=0\\
$$