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  • 25-08-2020
  • Mathematics
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Find a possible solution to the equation cos(x+2)= sin(3x)

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Аноним Аноним
  • 25-08-2020

Answer:

x = 22

Step-by-step explanation:

Let's say that a & b are complementary angles...

Then cos a = sin b

We can also write sin(3x) as ,

[tex] \sin(3x) = \cos(90 - 3x) [/tex]

Substituting the value of sin(3x) in the question ,

[tex] \cos(x + 2) = \cos(90 - 3x) [/tex]

Cancelling cos from both the sides gives us -

[tex]x + 2 = 90 - 3x\\ [/tex]

Solving this eqn , x = 22

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