Question

If cos A= 4/5. then find tan 4 + cot A​

Answer 1

ur answer is 25/12.....

Answer 2

Step-by-step explanation:

Given that: cos A= Base/ Hypotenuse

therefore, Using Pythagoras theorem,

(H)^2 = (P)^2 + (B)^2

(5)^2 = (P)^2 + (4)^2

25 = (P)^2 + 16

25 - 16 = (P)^2

9 = (P)^2

+3 = (P)

(here -3 can't be taken because side of triangle can't be negative)

Now, tan A = sin A / cos A

= 3/5 ÷ 4/5

= 3/4

Also, Cot A = cos A / sin A

= 4/5 ÷ 3/5

= 4/3

Now, you can calculate it by,

tan A + Cot A = 3/4 + 4/3

= 25/12