Question

48 POINTS!!!!! given tan Ф = 4/5, find all other trig functions.

sin =

cos =

tan =

csc =

sec =

cot =

Answer 1

• P/B=4/5
• P=4
• B=5
• B=√5²+4²=√41

So

• sinØ=P/H=4/√41
• cosØ=B/H=5/√41
• cotØ=5/4
• secØ=√41/5
• cscØ=√41/4

Answer 2

Explanation:

let : y = Opponent side, x= Adjecent side

and r= hypotenuse

tan 0 = 4/5

y/x = 4/5 => y =4, x=5

so, r = √4²+5²=√16+25=√41

sin = y/r = 4/ √41

cos = x/r = 5/√41

tan = y/x = 4/5

csc = r/y = √41 /4

sec = r/x = √41 /5

cot = x/y = 5/4