Question

Find a possible solution to the equation cos(x+2)= sin(3x)

Answer 1

x = 22

Explanation:

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

Then cos a = sin b

We can also write sin(3x) as ,

`\sin(3x) = \cos(90 - 3x)`

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

`\cos(x + 2) = \cos(90 - 3x)`

Cancelling cos from both the sides gives us -

`x + 2 = 90 - 3x\\`

Solving this eqn , x = 22