Question

If tan theta =
12/5
then 5 sin 0 - 12 cos 0 = ?
​

Answer 1

Answer:

0

Step-by-step explanation:

here , the given value is

10 tan theta = 12/5

Tan = perpendicular / base

perpendicular = 12

base = 5

let the third side be x which is obviously a hypotenuse of a right angled triangle

then

x square = 5 square + 12 square

x square = 25 + 144

x square = 169

x = 13

now,

sin theta = perpendicular / hypotenuse

then

sin = 12/13

cos theta = base / hypotenuse

then

cos = 5/13

now ,

5 * 12/13 - 12 * 5/13

60/13 - 60/13

= 0