Step-by-step explanation:
sec(90-A) . Sin A = cot (90-A) . tan(90-A)
cosec X sinA = tanA X cotA
1/sinA X sinA = tanA X 1/tanA
1=1
Hence proved
Answer:
190.684
Step-by-step explanation:
To find the square root of 36360, we place a bar over the numbers that we want to find their square root in pairs
, 1

, 1 1
2, <u>9</u> 2
9 261
38, <u>0</u> 2 60
0 0
.
380, 6 26000
, 6 22800
3806, 8 320000
, 8 304480
38068, 4 1552000
,4
Which gives 190.684
3 63 60
We select the divisor to be the largest number which when squares will be equal to the largest number on the left which is 1
We have 1 * 1 = 1
We subtract it from the 3 to get 2
We add the 1's to get 2
We bring down the next pair which is 63 to form the next dividend, 263
We look for a number which will multiply itself to get 263, which is 9, we then have 29 × 9 = 261
We continue till we arrive at the vertical paired numbers which is 190.684.
Answer:
0.546 , -4.71
Step-by-step explanation:
Given:
An angle's initial ray points in the 3-o'clock direction and its terminal ray rotates counter -clock wise.
Here, Slope = tan\theta
If θ = 0.5
Then, Slope = tan(θ) = tan(0.5) = 0.546
If θ = 1.78
Then, Slope = tan(θ) = tan(1.78) = - 4.71
The expression (in terms of θ) that represents the varying slope of the terminal ray.
Slope = m = tanθ, where θ is the varying angle
Answer:
The graph would just be a vertical line as there is no slope or no change in the slope of the equation.
Step-by-step explanation:
Answer:
The radius is 4.097396898
Step-by-step explanation:
A hemisphere is 1/2 of a sphere so the volume is 1/2 of the volume
V = 1/2 ( 4/3 pi r^3)
= 2/3 pi r^3
144 = 2/3 pi r^3
Multiply each side by 3/2
3/2 *144 = 3/2 * 2/3 pi r^3
216 = pi r^3
Divide each side by pi
216/ pi = pi r^3/pi
68.78980892 = r^3
Take the cube root of each side
(68.78980892 )^1/3= (r^3)^1/3
4.097396898 = r
The radius is 4.097396898