Question

If the cosine of an angle is twice the sine of that angle what is the value of the angles tangent?

Answer 1

let's say that sin(θ) = x, then the cos(θ) which is twice the sine has to be 2x, therefore then

`\bf tan(\theta )=\cfrac{sin(\theta )}{cos(\theta )}~~ \begin{cases} sin(\theta )=x\\ cos(\theta )=2x \end{cases}\implies tan(\theta )=\cfrac{x}{2x}\implies tan(\theta )=\cfrac{1}{2}`