07-02-2020
Mathematics

contestada

If sin(12x + 18)° = cos(3.x - 3), find the value of x.

Respuesta :

jimrgrant1 jimrgrant1

07-02-2020

Answer:

x = 5

Step-by-step explanation:

Using the cofunction identity

sin x = cos(90 - x), then

12x + 18 = 90 - (3x - 3), that is

12x + 18 = 90 - 3x + 3 ( add 3x to both sides )

15x + 18 = 93 ( subtract 18 from both sides )

15x = 75 ( divide both sides by 15 )

x = 5

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