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:
$2.26
Step-by-step explanation:
In total, you owed them 28.21, and so you can subtract the amount you paid from the total:
28.21 - 25.95 = 2.26
So, you owe them $2.26 now.
hope this helps! have a lovely day :)
Answer:
There are infinite vocabulary words that can be used in math, but i think these are the most commonly used.
Step-by-step explanation:
. parallel - equal- equidistant - collinear - symmetry - tangent.
. Lines- angles-circles - quadrilateral- circumference.
.Addition-subtraction-calculate- arithmetic - decimal-radius-diameter - center of gravity-centroid-equilateral- isosceles- height-median - perpendicular bisector- compass - protractor.
. Average- axis - coordinates-curve - cylinder - section - cosine- sine- multiplication - division - cube-cone- degree- divisor - dozen-ellipse - equation-numerical- even- odd - exponent- expression - corresponding - factor - factorial- factorization - fraction- geometry - algebra - graph - greater than - more - less- compare - integer- intersection - inequality - equality - identity - inverse - real - imaginary - irrational - rational- linear- mean- minus- plus- negative - positive - perimeter - parabola - parallelogram - quotient - radian- series-set- slope- sphere - solve - square root - symbol - volume-variable.
Answer:
d. y = -⁷/6x - 7
Step-by-step explanation:
✔️First, find the slope (m) using two points on the line, (-6, 0) and (0, -7):
Slope (m) = change in y/change in x
Slope (m) = (-7 - 0)/(0 - (-6))
Slope (m) = -7/6
✔️Determine the y-intercept (b):
The line intercepts the y-axis at -7. Therefore,
b = -7.
✅To write the equation, substitute m = -⁷/6 and b = -7 into y = mx + b
Thus:
y = -⁷/6x + (-7)
y = -⁷/6x - 7
-3 x 13 super easy its all about negative and positives sign
