Answer:
<h3>cosθ = c/√1+c²</h3>
Step-by-step explanation:
Given cot θ = c and 0 < θ < π/2
In trigonometry identity:
cotθ = 1/tanθ = c
1/tanθ = c
cross multiply
tanθ = 1/c
According to SOH, CAH, TOA:
Tanθ = opposite/adjacent = 1/c
cosθ = adjacent/hypotenuse
To get the hypotenuse, we will use the pythagoras theorem:
hyp² = opp²+adj²
hyp² = 1²+c²
hyp = √1+c²
Find cosθ in terms of c
cosθ = c/√1+c²
Hence the formula for cos θ in terms of c is cosθ = c/√1+c²
Answer:
0.141
Step-by-step explanation:
There are ₇C₁ ways to choose 1 woman from 7.
There are ₅C₃ ways to choose 3 men from 5.
There are ₁₂C₄ ways to choose 4 people from 12.
So the probability is:
₇C₁ ₅C₃ / ₁₂C₄
7 × 10 / 495
0.141
Answer:
D
Step-by-step explanation:
Using the identity
sec x =
Given
cos28° , then
sec x = ≈ 1.13 → D
The answer is B. 18
Explanation:
We know that a square has 4 right angles. A right angle is 90°.
5x° = 90°
5(18)° =90°
90°=90°
Hope this helps some
Answer:
30
Step-by-step explanation:
45-15