I'm only going to alter the left hand side. The right side will stay the same the entire time
I'll use the identity tan(x) = sin(x)/cos(x) and cot(x) = cos(x)/sin(x)
I'll also use sin(x+y) = sin(x)cos(y)+cos(x)sin(y) and cos(x+y) = cos(x)cos(y)-sin(x)sin(y)
So with that in mind, this is how the steps would look:
tan(x+pi/2) = -cot x
sin(x+pi/2)/cos(x+pi/2) = -cot x
(sin(x)cos(pi/2)+cos(x)sin(pi/2))/(cos(x)cos(pi/2)-sin(x)sin(pi/2)) = -cot x
(sin(x)*0+cos(x)*1)/(cos(x)*0-sin(x)*1) = -cot x
(0+cos(x))/(-sin(x)-0) = -cot x
(cos(x))/(-sin(x)) = -cot x
-cot x = -cot x
Identity is confirmed
Answer:
1. c
2. a
3. d
4. b
Step-by-step explanation:
For 1, use parchment paper for rotating it around the origin.
For 2, just make the y value positive.
For 3, add 13 to the y value.
For 4, use process of elimination with the answer choices.
(I know right, horrible explanation but you wanted the answers right?)
Answer:
1/36) = 0.0277777777778
(1/108)^3 = 7.9383224102 x 10^-7
(1/9)^4 = 0.000152415790276
(1/6)^2 = 0.0277777777778
(1/2)^5 = 0.03125
The only one that matches with the value of 1/36 is (1/6)^2. Therefore, your answer is . (1/6)^2
Answer:
Total amount of fluid sold = 63 ounces
Step-by-step explanation:
Given:
Each bottle contain = 2.1 ounces
Total number bottle = 30
Find:
Total amount of fluid sold
Computation:
Total amount of fluid sold = Each bottle contain x Total number bottle
Total amount of fluid sold = 2.1 x 30
Total amount of fluid sold = 63 ounces
