Question

Solve 2 cos ø + 2=3 in the interval from 0 to 2 π.Round to the nearest hundredth.

Answer 1

The value of ∅ for the given trigonometrical equation is 60° .

Explanation:

Given as :

The Trigonometrical equation

2 cos∅ + 2 = 3

Now, Solving this equation to get the value of ∅

∴ The equation can be written as

2 cos∅ = 3 - 2

or , 2 cos∅ = 1

or , cos∅ =
`(1)/(2)`

∴ ∅ =
`cos^(-1)((1)/(2))`

I.e ∅ = 60°

So,The value of ∅ for the given trigonometrical equation = ∅ = 60°

Hence, The value of ∅ for the given trigonometrical equation is 60° . Answer