Find the value of the remaining four trigonometric functions of ?

Question

cos theta = 2 sqrt 5 over 5 and sin theta = - sqrt 5 over 5

Answer 1

cosθ = (2√5)/5

sinθ = (-√5)/5

 

tanθ = sinθ/cosθ = [(-√5)/5] / [(2√5)/5] = -1/2

 

Here are the definitions of the other three trig functions.  Plug in the given values of sinθ and cosθ to find their values.

 

cotθ = cosθ/sinθ = 1/tanθ

 

secθ = 1/cosθ

 

cscθ = 1/sinθ