Answer:
θ = 0.896 and 2.246.
Step-by-step explanation:
We will use the identity
sin²θ + cos²θ = 1
and the double angle formula
cos2θ = cos²θ - sin²θ = (1 - sin²θ) - sin²θ = 1 - 2sin²θ
1. Convert the equation to a more solvable form.

2. Solve the quadratic
a = 2; b = 1; c = -2
(a) Set up the equation.

(b) Evaluate the roots

3. Solve for θ
(a) The negative root
u = sinθ = -1.281
sinθ cannot be less than -1. No solution.
(b) The positive root
If sin(x) = a, then
x = arcsin(x) + 2πn and
x = π - arcsin(a) + 2πn
(i) Case 1
u = sinθ = 0.7808
θ = arcsin(0.7808) + 2πn
θ = 0.8959 ± 2πn
If n = 0,
θ = 0.8959
(ii) Case 2
θ = π - 0.8959 + 2πn
If n = 0,
θ = π - 0.8959 = 2.246
The solutions are θ = 0.8959 and θ = 2.246
The diagram below shows the graph of f(θ) with its roots at 0.896 and 2.246.
The two interior angles will be congruent.
Hope this helps :)
Answer:
I think that the answer is 10
Answer:
Step-by-step explanation:
240.37
Answer:
Step-by-step explanation:
so what your gonna do is you are going to add 81 to 360 and then sum it up. after you are going to divide it by 3.5.
This might be wrong but there is always a point where you have to try :)