Polar form: (r,θ)
Using these formulas:
x²+y²=r²
tan(θ)=y/x
We have the point (1,1) in cartesian coordinates. We need to find r and θ to get it in polar form.
r²=1²+1²
r²=2
r=±√2
tan(θ)=1/1
tan(θ)=1
θ=π/4 radians or 45 degrees
Polar coordinates: (√2,π/4)
Those answer choices look strange. Are you sure these are the right answer choices?
Answer:
sin B= 0.096288
B = 5.525°
Step-by-step explanation:
Consider ΔABC as shown in figure attached
From figure:
a = 1 m
b = 3.54 m
sin A = 0.0272
sin B = ?
Using the sine rule for non-right-angle triangle
The domain (input values) of the cosine function is all negative and positive angle measures.
Let the function be f(x) = cos(x)
The domain of cos(x) is -∞ < x < ∞
The range is -1 ≤ f(x) ≤ 1
Hence, domain of cos(x) is all (+) and (-) angle measures.
Same goes with sine function as well
For function f(x) = sin(x)
The domain is -∞ < x < ∞ and range -1 ≤ f(x) ≤ 1
However for f(x) = tan(x) the same is not applicable.
Answer:
A
Step-by-step explanation:
The volume (V) of water in the tank is calculated as
V = lbh (l is length, b is breadth and h is height )
Here l = 80, b = 40 and h = 50 , then
V = 80 × 40 × 50 = 160000 cm³
V ( in litres) = 160000 ÷ 1000 = 160 litres , then
number of times = 160 ÷ 10 = 16
L = length w = width
Write System of Equations:
l = 2w
l + w = 66
Substitute 2w for l:
2w + w = 66
3w = 66
w = 22
Solve for l:
l = 2w
l = 2(22)
l = ww
