Question

If 5 sin x = 4 Find the value of tan x - cos x

12/15

4/5

11/15

None of the above

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Answer 1

Answer:

11/5

Step-by-step explanation:

sin x =4/5;

sin^2x+cos^2x=1;

from above equation we get..

cos x=3/5;

tan x=sin x/cos x;

tanx= 4/5/3/5;

tan x=4/3;

tan x-cos x= 11/5

Answer 2

Answer:

tan x - cos x = 11/15

Step-by-step explanation:

5 sin x = 4 then

sin x = 4/5

sin x = opposite side/ hypotenuse

so , opposite side = 4

hypotenuse = 5

by pythagoras rule 3rd side = 3

I.e., adjacent side = 3

tan x = opposite side/ adjacent side

= 4/3

cos x = adjacent side/hypotenuse

= 3/5

tan x - cos x = 4/3 - 3/5 = 20 -9 /15 = 11/15