Question

If sin x is equals to minus 24 by 25 then the value of tan x is

Answer 1

Given: The value of sin x = 24/25

To find: The value of tan x.

Solution:

• Now we have given the value of sin x as 24/25.

• Here 24 is perpendicular and 25 is hypotenuse.

• So sin x = 24/25 =  perpendicular / hypotenuse

• Now base can be calculated as:

                  base² = hypotenuse² - perpendicular²

                  base² = 25² - 24²

                  base² = 625 - 576

                  base² = 49

                  base = 7

• So now tan x is equal to perpendicular / base, so :

                  tan x = 24 / 7

Answer:

              So the value of tan x is 24 / 7.