Question

if tanA=5 upon 4, then sinA-cosA upon sinA+cosA =_____​

Answer 1

Answer:

1/9

Step-by-step explanation:

tanA=5/4

tanA=opposite/adjacent

by pythagorous theorem

hypotenuse=√25+16=√41

so

sinA=5/√41

cosA=4/√41

so sinA-cosA= 5/√41-4/√41= 1/√41

and sinA+cosA=5/√41+4/√41=9/√41

therefore sinA-cosA/sinA+cosA=1/9