Given that sinθ = 2/5 and 0 < θ < 90, what is the exact value of cscθ?

Please select the best answer from the choices provided

Respuesta :

Answer:

5/2

Step-by-step explanation:

cscθ = 1/sinθ = 1/(2/5) = 1 x (5/2) = 5/2

We know,

[tex] \boxed{sin( \theta) = \frac{1}{csc( \theta)} }[/tex]

So,

=》

[tex] \dfrac{2}{5} = \dfrac{1}{ \csc( \theta) } [/tex]

=》

[tex] \csc( \theta) = \dfrac{5}{2} [/tex]