Suppose Θ is in standard position whose terminal side lies in Quadrant II. find the exact values of the remaining five trigonometric functions for Θ for cos Θ = (√3)/2. could you please include steps so i understand this better for future use?
draw a triangle,second draw your angle θ then use this Acronym SOH CAH TOA
SOH means Sinθ =opposite/hypotenuse
CAH means Cosθ= adjacent/hypotenuse
TOA means Tanθ=opposite/adjacent
in this case cos Θ = (√3)/2. So adjacent =√3 and hypotenuse=2. to find the opposite side we use Pythagorean theorem(a^2 +b^2=C^2).
let a = the adjacent side and
c= the hypotenuse then solve for b… afterwards you can now find tan and sin.
to find cscΘ just flip whatever fraction you get for sinΘ (because cscΘ is just the inverse of sinΘ)
to find secΘ just flip the fraction of cosΘ (secΘ in this case would equal 2/(√3))
to find cotΘ just flip the fraction of tanΘ.