Cot x = cos x / sin x
cot π/4 = cot 45° = cos 45° / sin 45°
We know that sin 45° and sin 45° have the same value:
cos 45° = sin 45° = √2 / 2;
cos 45° / sin 45° = √2/2 : √2/2 = 1
Answer:
cot π/4 = 1
Answer:
1.5625
Step-by-step explanation:
<u>Answer:</u>
$50 and $115
<u>Step-by-step explanation:</u>
We know that,
the sum of the two rates = $165 per hour
Let x and (165 - x) represent the $/hour of the 15hr and 5hr mechanics respectively.
Then combining their charges together to get:

Solving for x to get:



So the rate charged per hour by one mechanic is $50 and for the other mechanic =
$115.
Answer:
- m∠A ≈ 53.13°
- m∠B ≈ 73.74°
- m∠C ≈ 53.13°
Step-by-step explanation:
An altitude to AC bisects it and creates two congruent right triangles. This lets you find ∠A = ∠C = arccos(6/10) ≈ 53.13°.
Since the sum of angles of a triangle is 180°, ∠B is the supplement of twice this angle, so is about 73.74°.
m∠A = m∠C ≈ 53.13°
m∠B ≈ 73.74°
_____
The mnemonic SOH CAH TOA reminds you of the relation between the adjacent side, hypotenuse, and trig function of an angle:
Cos = Adjacent/Hypotenuse
If the altitude from B bisects AC at X, triangle AXB is a right triangle with side AX adjacent to the angle A, and side AB as the hypotenuse. AX is half of AC, so has length 12/2 = 6, telling you the cosine of angle A is AX/AB = 6/10.
A diagram does not have to be sophisticated to be useful.
Answer:
D
Step-by-step explanation:
Sum the three angle of triangle = 180
x + 53 + 60 = 180
x + 113 = 180
x = 180 - 113
x = 67