pleasssseee helpp math challenge

Question

If cosine of x equals 1 over 2, what is sin(x) and tan(x)? Explain your steps in complete sentences.

Answer 1

Since cosx > 0, x lies in Quadrant 1 or 4

 

If x lies in quadrant 1, then sinx = √(1 - cos²x) = √(1 - ¼) = √(3/4)

 

                                                                                   = √(3)/2

 

                                       tanx = (sinx)/(cosx) = √3

 

If x lies in quadrant 4, then sinx = -√(3)/2 

 

                                       tanx = -√3