Answer:
csc θ = [tex]\sqrt{85}[/tex]/6
sec θ = [tex]\sqrt{85}[/tex]/7
tan θ = 6/7
Step-by-step explanation:
The first thing to do will be to compute the length of the hypotenuse using the Pythagoras theorem;
6^2 +7^2 = hypotenuse^2
hypotenuse = [tex]\sqrt{85}[/tex]
csc θ = 1/sinθ
sinθ = opposite side/hypotenuse
= 6/[tex]\sqrt{85}[/tex]
csc θ = [tex]\sqrt{85}[/tex]/6
sec θ = 1/cosθ
cosθ = adjacent side/hypotenuse
sec θ = hypotenuse/adjacent side
= [tex]\sqrt{85}[/tex]/7
tan θ = Opposite side/adjacent side
= 6/7
