Answer:
3) Reflexive Property
4) SAS
Step-by-step explanation:
<h2>ST ≅ TS</h2>
1. The Reflexive Property states that: a quantity is congruent (equal) to itself.
- Example: a = a
- In this case, it could be seen as ST ≅ ST because they have/are the same side(s).
<h2>RST ≅ UTS </h2>
1. SAS theorem states that: two triangles are equal if two sides and the angle between those two sides are equal.
- Example: RST ≅ UTS (both have S and T)
- Can be seen as RST ≅ UST as well to make their similarity more evident.
2. Because it is given that RS ≅ UT and RT ≅ US, and it includes the same 2 lines being equal as given/said, RST ≅ UTS because of SAS (theorem).
Answer:
Step-by-step explanation:
R=r
Hello,
Since 3sin x-4sin^3x=sin (3x) (*****)
3sin x-4sin^3x=-1
==>sin (3x)=-1
==>3x=3π/2 +2kπ
==>x=π/2+2kπ/3, k being an integer
(*****)
sin (3x)=sin(x+2x)=sin x cos2x+cos x sin 2x
=sin x(cos²x-sin²x)+2cos²x sin x
=sin x(cos²x+2cos²x-sin²x)
=sinx(3(1-sin²x)-sin²x)
=3sin x-4sin^3x
