Answer:
See answers in bold below
Step-by-step explanation:
Using pythagoras theorem to find the unknown side a;
c² = a²+b²
a² = c²-b²
a² = 20²-16²
a² = 400 -256
a² = 144
a = √144
a = 12
for the six trigonometry functions;
According to SOH CAH TOA
sin theta = opposite/hypotenuse
Opposite = 12
Hypotenuse = 20
sin theta = 12/20
sin theta = 3/5
cos theta = adj/hyp
cos theta = 16/20
cos theta = 4/5
tan theta = opp/adj
tan theta = 12/16
tan theta = 3/4
cosec theta = 1/sintheta
cosec theta = 1/(3/5)
cosec theta = 5/3
sec theta = 1/cos theta
sec theta = 1/(4/5)
sec theta = 5/4
