Question

10 sin A + 16 = 3 sin A + 9

Answer 1

1. Answer: A =
   `(3pi)/(2)` in radians in degrees 270°,
   `-(pi)/(2)` in radians -90° in degrees

Step-by-step explanation:

10 sin A = 3 sin A -7 (subtracting 16 from each side)

10 sin A - 3 sin A = -7 (subtracting 10 sin A from 3 sin A to simplify the equation)

7 sin A = -7 (dividing by 7 to get sin A)

sin A = -1

sin^-1(sin A) = sin^-1(-1) =
`(3pi)/(2)` =
`-(pi)/(2)`(applying the inverse function of sin to cancel sin A to A)

A =
`(3pi)/(2)`,
`-(pi)/(2)`