Question

If sinθ=4/5, what is the value of cot θ + cosec θ?

Answer 1

Answer:

2

Step-by-step explanation:

sin Ø=4/5

sinø=opposite/hypotenuse

hypotenuse=5

opposite=4

then by hypotenuse theorem

5^2=4^2+opposite^2

opposite^2=5^2-4^2

opposite^2=9

opposite=3

cotø=adjacent /opposite=3/4

cosecø=1/sinø=5/4

then

cotø+ cosecø=3/4+5/4=8/4=2