Math Problem?

Question

Find all solutions of the given equation

(Sqrt 2) cos x-1=0

how the hell do u solve this?

Answer 1

Favorite Answer

(sqrt 2)cos x - 1 = 0

cos x = 1/(sqrt 2)

--> x lies in lst and 4th quadrant

Let α be the basic angle.

cos α = 1/(sqrt 2)

By observation, α = 45°.

Therefore, the solutions to the given equation are 45°, 315°, 405°, 675°, 765°, ...

Answer 2

first add 1 to both sides

(sqrt 2) cos x = 1 next divide both sides by (sqrt 2)

cos x = 1/(sqrt 2) take the inverse cos of both sides and get

x = 45