Find all of the solutions for the following equation. 2 sin q + 3 = sin q + 2

Mathematics

1 answer:

kow [346]3 years ago

3 0

Answer:

q = 270 degrees + 360n where n is an integer

Step-by-step explanation:

2 sin q + 3 = sin q + 2

Subtract sin q from each side

2 sin q - sin q + 3 = sin q + 2

sin q + 3 = 2

Subtract 3 from each side

sin q +3-3 = 2-3

sin q = -1

Take the inverse sin of each side

sin ^-1 (sin q) = sin^-1 (-1)

q = 270 degrees + 360n where n is an integer

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