Answer:
θ = 36.9°, 90°, 216.9°, or 270°
Step-by-step explanation:
4 sin 2θ − 3 cos 2θ = 3
Use double angle formulas:
4 (2 sin θ cos θ) − 3 (cos²θ − sin²θ) = 3
8 sin θ cos θ − 3 cos²θ + 3 sin²θ = 3
Use Pythagorean identity:
8 sin θ cos θ − 3 cos²θ + 3 sin²θ = 3 (sin²θ + cos²θ)
8 sin θ cos θ − 3 cos²θ + 3 sin²θ = 3 sin²θ + 3 cos²θ
8 sin θ cos θ − 6 cos²θ = 0
2 cos θ (4 sin θ − 3 cos θ) = 0
2 cos θ = 0
θ = 90° or 270°
4 sin θ − 3 cos θ = 0
4 sin θ = 3 cos θ
tan θ = 3/4
θ = 36.9° or 216.9°
Answer:
make me brainliest i have been subbed for a couple yrs not joking
Step-by-step explanation:
Answer:
Please see analysis
Step-by-step explanation:
{the constant of proportionality of 4}
The circumference of a square is in relation to the length of its sides
{C=4l}
<em>I hope this helps you</em>
<em>:)</em>
So, to solve this, you just plop those x and y values into the equation. So:
3(8) -2(-5)= 6
24- (-10) =6
34=6
34=/=6
Since these two are not equal, the ordered pair <em />is not a solution.