Answer:
The solutions of the equation are -41.8° , 0.0° , 41.8°
Step-by-step explanation:
∵ 3 sin²Ф - 2 sinФ = 0 is a quadratic function
∵ The domain of the function is -90° ≤ Ф ≤ 90°
- Lets take sinФ as a common factor
∴ sinФ (3 sinФ - 2) = 0
- Two terms multiplied by each other = 0
∴ One of them must be equal zero
∴ sinФ = 0 or 3 sinФ - 2 = 0
- If sinФ = 0 ⇒ Ф = 0.0°
- If 3 sinФ - 2 = 0 ⇒ 3 sinФ = 2 ⇒ sin Ф = 2/3
∵ sinФ 2/3
∴ Ф = 41.8° ⇒ Ф ≤ 90° (in first quadrant)
∵ -90° ≤ Ф ≤ 90°
∴ Ф = -41.8° ⇒ Ф ≥ -90° (in fourth quadrant)
∴ The solutions of the equation are -41.8° , 0.0° , 41.8°
Answer:
Step-by-step explanation:
2×26÷17=2× 26/17=52/17=3 1/17
Answer:
x = 183
Step-by-step explanation:
(x -73)° + x° +67° = 360°
x-73+ x +67 = 360
x + x -73 +67 = 360
2x-6 = 360
2x = 360+6
x = 366÷2
x = 183
Check:
(183 - 73) = 110° , x = 183° , 67°
110° + 183° + 67° = 360°
Answer:
The value that appears more
Step-by-step explanation:
Hope u get it right!:D
