Answer:
cot . (x- π/2)= - tanx
Step-by-step explanation:
cot . (x- π/2)= - tanx
cot .x - cot π/2= - tanx
cot π/2= 1/tanπ/2
But tan π/2= ∞
cot π/2 = 1/∞= 0
cotx - 0= - tanx
cot x = - tanx
cosx/sinx= - sinx/cosx Putting values of cot and tan
cosx/ sinx ( sinx/cos x) = -sinx/cos x (sinx/cos x )
Multiplying both sides with sinx/cos x
1= - sin²x/cos²x
cos²x= - sin²x as cosx = -sinx
Answer:
For part 6: 39
Step-by-step explanation:
You have your starting number and then it gets added to a product of two numbers. 8 + (2x2) = 12. 12 + (2x3) = 18. 18 + (3x3) = 27. 27 + (3x4) = 39. That is the most logical answer I was able to find.
The system is inconsistent because the slopes are the same and the lines are different.
A linear equation is of the form:
y = mx + b
where y, x are variables, m is the slope of the line and b is the y intercept.
Given the following system of equations:
y = 6x + 2 (1)
y = 6x + 1 (2)
We can see that both equations have the same slope of 6 but have different y intercepts.
Hence the system is inconsistent because the slopes are the same and the lines are different.
Find out more at: brainly.com/question/13911928
-3(x + 4) + 15 = 6 - 4x......distribute the -3 thru the parenthesis
-3x - 12 + 15 = 6 - 4x....simplify
-3x + 3 = 6 - 4x...add 4x to both sides
-3x + 4x + 3 = 6....subtract 3 from both sides
-3x + 4x = 6 - 3....simplify
x = 3 <==
If you would like to know which of the following steps should be performed to eliminate variable d first, you can find this using the following steps:
equation a: 2c = d - 8 /*(-3)
equation b: c = 3d + 8
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-6c = -3d + 24
c = 3d + 8
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-6c + c = -3d + 24 + 3d + 8
-5c = 32
5c = -32
c = -32/5
<span>The correct result would </span>be: <span>multiply equation a by −3.</span>
