If 15 cot A = 8, find the values of sin A and sec A.
Let triangle ABC, right anlged at B
15cotA=8
∴cotA=815
cotθ=Adjacent sideOpposite side
∴ABBC=815
∴AB=8 & BC=15
by Pythagoras theorem,
AC2=AB2+BC2
AC2=82+152
AC2=64+225
AC2=289
AC=17
∴sinA=Opposite sideHypotenuse side=1517
secA=Hypotenuse sideAdjacent side=178