Answer
a and d you would have to search if a square
is a rectangle
Multiply 18 ×6 then multiply 4×6 then take the answer of 4×6 and take it away from 18×6
Given tan g = 5/12, find cos g:
5
tan g = ———
12
The tangent function is, by definition, the quotient between sine and cosine:
sin g 5
———— = ———
cos g 12
Product of them extremes = product of the means
12 · sin g = 5 · cos g
Square both sides:
(12 · sin g)² = (5 · cos g)²
12² · sin² g = 5² · cos² g
144 · sin² g = 25 · cos² g
But sin² g = 1 – cos² g. Substitute it for sin² g into the equation above, and you have
144 · (1 – cos² g) = 25 · cos² g
Multiply out the brackets, and then isolate cos² g:
144 – 144 · cos² g = 25 · cos² g
144 = 25 · cos² g + 144 · cos² g
144 = 169 · cos² g
Divide both sides by 169:
144
cos² g = ———
169
12²
cos² g = ———
13²
cos² g = (12/13)²
Now, take the square root of both sides:
cos g = ± √(12/13)²
12
cos g = ± ———
13
The sign of cos g depends on which quadrant the angle g lies. As tan g = 5/12, which is positive, then g lies either in the 1st or the 3rd quadrant:
• If g lies in the 1st quadrant, then
5
cos g > 0 ⇒ cos g = ——— ✔
13
• If g lies in the 3rd quadrant, then
5
cos g < 0 ⇒ cos g = – ——— ✔
13
I hope this helps. =)
Tags: <em>trigonometric relation tangent cosine sine tan cos sin trig trigonometry</em>
Answer:
$1,175.34
Step-by-step explanation:
To solve for the total amount after 7 years. We need to use the formula:
Let's first break down all the variables that we have.
P = 480
r = 13% or 0.13
n = 4 (Quarterly)
t = 7 years
Now we simply substitute the values into the formula.
The account will have $1,175.34 after the 7 year period.
Answer:
<u>104 feet</u>
Step-by-step explanation:
- To get the height of the lighthouse, we need to take the sine function of the angle
- sin4° = 0.07
- sin4° = h/1480
- ⇒ h/1480 = 0.07
- ⇒ h = 1480 x 0.07
- ⇒ h = 103.6
- ⇒ h = <u>104 feet</u>
