Question

5 cos theetha + 12 sin theetha =13​

Answer 1

Answer:

i am using x in case of theeta-------------

5 cose x = 13 -12 sin x

squaring on both sides we get ,

25 cos(power 2)x=169+144 sin (power 2)-312 sin x

in case of cos square x we substitute ( 1- sin square x, )as sin square x +cos square x = 1

equation will be 169 sin square x -312 sin x+144 =0

after using quadratic formula we get sin x = 312/338

so sin x = 12/13