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:
3/2
Step-by-step explanation:
unit rate describes how many units of the first type of quantity corresponds to one unit of the second type of quantity so:
1.1/3= 3.1+1÷3=4/3
8/9÷4/3=3/2
Answer:
14,464
Step-by-step explanation:
16,000 - 20% = 12,800
12,800 + 13% = 14,464
I hoope this is correct. Have a wonderful day and dream a good dream of good people. :)
4×754=3016
4×4=16 4×5=20+1 4×7=30
this is the first method I mean this is the method that we are useing here in Macedonia
or maybe 754×4
You can divide this image into 2 different shapes and there are multiple ways to do this. I drew a line straight down from the side that has a length of 6 to divide the image into 2 rectangles
I now have a rectangle that has sides of 7 and 10 and a rectangle that has sides of 4 and 8
A=L*W so A=7*10 which is 70
A=L*W so A=4*8 which is 32
add these areas together to get 102 so "C" is the correct answer