Question

If cosø=3/5 where ø is an acute angle find the value of tanø

Answer 1

Answer:

tan=

4/3

Step-by-step explanation:

step 1 : find the 3rd side length

Answer 2

Answer:

tanø = 4/3

Step-by-step explanation:

cosø=3/5

cosø= Adjacent/Hypotenuse

on drawing the triangle,

Hypotenuse = c = 5

Adjacent side = b = 3

Now, From Pythagoras theorem-

c² = a² + b²

a² = c² - b²

a² = 5² - 3²

a² = 25 - 9

a² = 16

a = √16

a = 4

Opposite side = a = 4

Hence, tanø = opposite/adjacent = 4/3