Answer: 0, π, 2π
Nevertheless, that is not an option. I see two possibilities: 1) the options are misswirtten, 2) the domain is not well defined.
If the domain were 0 ≤ θ < 2π, then 2π were excluded of the domain ant the answer would be 0, π.
Explanation:
1) The first solution, θ = 0 is trivial:
sin (0) - tan (0) = 0
0 - 0 = 0
2) For other solutions, work the expression:
sin(θ) + tan (-θ) = 0 ← given
sin (θ) - tan(θ) = 0 ← tan (-θ) = tan(θ)
sin(θ) - sin (θ) / cos(θ) = 0 ← tan(θ) = sin(θ) / cos(θ)
sin (θ) [1 - 1/cos(θ)] = 0 ← common factor sin(θ)
⇒ Any of the two factors can be 0
⇒ sin (θ) = 0 or (1 - 1 / cos(θ) = 0,
sin(θ) = 0 ⇒ θ = 0, π, 2π
1 - 1/cos(θ) = 0 ⇒ 1/cos(θ) = 1 ⇒ cos(θ) = 1 ⇒ θ = 0, 2π
⇒ Solutions are 0, π, and 2π
In fact if you test with any of those values the equation is checked. The only way to exclude one of those solutions is changing the domain.
Answer:
See below ~
Step-by-step explanation:
<u>Drawing the rectangle</u> (Refer attachment)
<u>Horizontal sides</u>
- There are two x-values present : 1 and 6
- Find the difference
- 6 - 1 = 5
- The horizontal sides of the rectangle are <u>5</u> units long
<u>Vertical sides</u>
- Two y-values are present : 4 and 5
- Find the difference
- 5 - 4 = 1
- The vertical sides of the rectangle are <u>1</u> unit long
<u>Perimeter</u>
- 2(Horizontal side + Vertical side)
- 2(5 + 1)
- 2(6)
- 12
- The perimeter of the rectangle is <u>12</u> units
If your asking what 9B coefficient is it's B
multiply the height x the length x the width to find the volume of a room (or another 3d object)
