Answer:
sin 3 θ = 3 sin θ - 4 sin³θ
Step-by-step explanation:
<u><em>Step(i):</em></u>-
Given sin 3 θ
= sin ( 2θ + θ )
apply trigonometric formula
<em> sin ( A + B) = sin A cos B + cos A sin B </em>
<em> sin 2 A = 2 sin A cos B</em>
<em> Cos 2 A = 1 - 2 sin² A </em>
<em> cos ² A - sin ² A = 1</em>
<u><em>Step(ii):</em></u>-
sin 3 θ = sin ( 2θ + θ )
= sin 2θ cosθ + cos2θ sin θ
= 2 sin θ cos θ cos θ +( 1 - 2 sin² θ )sin θ
= 2 sin θ (cos² θ ) + sin θ- 2 sin³ θ
= 2 sin θ ( 1- sin²θ) + sin θ- 2 sin³ θ
= 2 sin θ - 2sin³θ + sin θ- 2 sin³ θ
= 3 sin θ - 4 sin³θ
<u><em>Final answer</em></u> :-
sin 3 θ = 3 sin θ - 4 sin³θ
Answer:
Step-by-step explanation:
We know that a triangle equals to 180 degrees.
(2x+24)+(4x+43)+(x^2+1)=180
the awnser to this is x=8.
You plug in 8 into x
Angle 1: 2(8+24) --> 40
Angle 2: 4(8+43) -->75
Angle 3: (8^2+1) -->65
Check your work: add values together 40+75+65=180
I have a feeling its c but i might be wrong...
Answer:
Step-by-step explanation:
Cant it be the 5/3 from the numbers wouldn't it be like P 5/3
Answer:
i need points lol
Step-by-step explanation:
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