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Given sin(−θ)=−16 and tanθ=−35√35.

What is the value of cosθ?

 Mar 9, 2020
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sin (- theta)  = - sin (x)        so sin x = 1/6

 

tan = sin / cos   =  1/6  /  cos  =  - sqrt35/35     solve for cos

                               cos =  1/6 * (-35/sqrt35)

 

                                     = -35 sqrt35 /210      ( does not match any of your answers....did you enter the Q correctly?? cheeky )

                                                                      OoOps ...as Alan has pointed out...it DOES match oe of the choices !

                                           1/6 * -35/sqrt35 = - sqrt35/6

 

 

Thanx, Alan !!!   

 Mar 9, 2020
edited by ElectricPavlov  Mar 9, 2020
edited by ElectricPavlov  Mar 9, 2020
edited by ElectricPavlov  Mar 9, 2020
edited by ElectricPavlov  Mar 9, 2020

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