Step-by-step explanation:
solution:- from LHS 1-cos²x/sinx
∵ 1-cos²x = sin²x
∴ sin²x /sinx = sinx
from RHS tanx × cosx
∵tanx = sinx×cosx
∴ sinx/ cosx × cosx = sinx
Since, LHS = RHS proved ___
<u>Question </u>
Select the three equations that this diagram could represent.
<u> </u>
<u>Answer</u>
<em>Well, we first have to find out what the diagram says.</em>
<em>So what the diagram says is that 18 + 18 + 18 = 54.</em>
<em>Given this information, we have to figure what other answers = 54.</em>
<em>Therefore the answers are </em>
(A) 18 * 3 = 54.
(D) 54/18 = 3
(E) 54/3 =18
The quadrants the point (4.-8) is in is the fourth quadrants
Step-by-step explanation:
Use SOH-CAH-TOA.
Sine = Opposite / Hypotenuse
Cosine = Adjacent / Hypotenuse
Tangent = Opposite / Adjacent
Let's start with #12. The hypotenuse is 18. The side adjacent to ∠B is 6. Since we have the adjacent side and hypotenuse, we should use cosine.
cos B = 6/18
Solving for B:
B = cos⁻¹(6/18)
Using a calculator:
B ≈ 70.5°
Now let's do #14. The side adjacent to ∠B is 19, and the side opposite of ∠B is 22. Since we have the adjacent side and opposite side, we should use tangent.
tan B = 22/19
Solving for B:
B = tan⁻¹(22/19)
Using a calculator:
B ≈ 49.2°
