Answer:
The all solution of given trigonometrical equation is + 2πn .
Step-by-step explanation:
Given trigonometrical equation as :
7 - 14 sin x + 2 = - 5
Now, Rearranging the equation
7 - 14 sin x + 2 + 5 = 0
Or, 7 - 14 sin x + 7 = 0.
Taking 7 as common
So, - 2 sin x + 1 = 0.
∵The standard form of quadratic equation
a x² + b x + c = 0
So, breaking the mid term we get
- sin x - sin x + 1 = 0.
Or, sin x (sin x - 1) - 1 (sin x - 1) = 0
Or, (sin x - 1) (sin x - 1) = 0
Or, (sin x -1) = 0 and (sin x - 1) = 0
So, sin x = 1
∴ x =
i.e x = 90°
Or, ∠x =
And for all solution + 2πn , where n∈ 0 to ....
Hence, The all solution of given trigonometrical equation is + 2πn . Answer
Answer:
(c) (28/3)√6
Step-by-step explanation:
Side ratios of "special triangles" are used to solve this problem.
30-60-90° triangle — 1 : √3 : 2
45-45-90° triangle — 1 : 1 : √2
<h3>Application</h3>
We need to apply these ratios a few times:
CD : CE = √3 : 2 ⇒ CE = (7√3)(2/√3) = 14
CE : BE = 1 : √2 ⇒ BE = 14(√2) = 14√2
BE : AE = √3 : 2 ⇒ AE = (14√2)(2/√3) = (28√2)/√3
The fraction can be simplified by multiplying by (√3)/(√3):
((28√2)/√3)×(√3)/(√3) = (28√6)/3
AE = (28/3)√6
Step-by-step explanation:
This is the equation of the ellipse. Since the denominator is greater for the y values, we have a vertical ellipse. Remember a>b, so a
The formula for the foci of the vertical ellipse is
(h,k+c) and (h,k-c).
where c is
Our center (h,k) is (2, -5)
Here a^2 is 9, b^2 is 4.
So our foci is
and
They can rent it for 7 hr. $20.60-$4.50=$16.10. $16.1 divided by $2.30= 7
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