Question

If 8 tan A = 15 ,then find the value of sec A.

Answer 1

Solution :

8 tanA = 15 , tan = 15/8 = P/B

15/8 , perpendicular / base

By the Pythagoras formulae

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

(H)^ = (15)^ + (8)^

(H)^ = 225 + 64

(H)^ = 289

(H) =

$\sqrt{289}$

Now = perpendicular = 15

= base = 8

= hypotence =

$\sqrt{289}$

So.

SecA = H/B

= under root 289 / 8

Answer :

289/ 8