Solution.
3
sin α – 4
cos α = 0
∴ 3 sin α = 4 cos α
∴ sinα / cos α = 4/3
∴ tanα = 4/3
We know that,
tanα = y/x = 4/3
∴ y = 4 and x = 3
r = √(x2+y2
)
∴ r =√((3)2+(4)2
)
∴ r =√(9+16)
∴ r =√25
∴ r = 5
sec α = r/x = 5/3
cosec α = r/y = 5/4