Question

Find cot θ if csc θ = square root of 5/2 and tan θ > 0.

Answer 1

@zepdrix

Answer 2

@douglaswinslowcooper

Answer 3

please! my last question :(

Answer 4

@mathmale

Answer 5

for csc to be positive and tan > 0 this is a 1st quadrant angle

you should know

csc = 1/sin

so using that property you can say

\[\frac{1}{\sin} = \frac{\sqrt{5}}{2}\]

now take the reciprocal of each side of the equation

\[\sin(x) = \frac{2}{\sqrt{5}}\]

now draw a triangle with the opposite side 2 and hypotenuse sqrt(5)

so you have



find the value of a using pythagoras theorem

then find tan(x)

and lastly take the reciprocals to find cot(x)

hope it helps

Answer 6

i got 1/2, correct? @campbell_st

Answer 7

thats a good job.... well done.

Answer 8

thanks(: