Find the slope of the line.
1 answer:
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You can FOIL (First, Outside, Inside, Last)
(3z+1)(4z+2)
First
(3z+1)(4z+2)
3z * 4z
Outside
(3z+1)(4z+2)
3z * 2
6z
Inside
(3z+1)(4z+2)
4z * 1
4z
Last
(3z+1)(4z+2)
2*1
2
Combine all the products of FOIL together
+ 6z + 4z + 2
Combine like terms
+ 10z + 2
Hope this helped!
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Answer: cos(Θ) = (√15) / 4
Explanation:
The question states:
1) sin(Θ) = 1/4
2) 0 < Θ < π / 2
3) find cos(Θ)
This is how you solve it.
1) Use the fundamental identity (in this part I use α instead of Θ, just for facility of wirting the symbols, but they mean the same for the case).
2) From which you can find:
3) Replace sin(α) with 1/4
=>
=>
4) Given that the angle is in the first quadrant, you know that cosine is positive and the final answer is:
cos(Θ) =
.
And that is the answer.
Explanation:
The question states:
1) sin(Θ) = 1/4
2) 0 < Θ < π / 2
3) find cos(Θ)
This is how you solve it.
1) Use the fundamental identity (in this part I use α instead of Θ, just for facility of wirting the symbols, but they mean the same for the case).
2) From which you can find:
3) Replace sin(α) with 1/4
=>
=>
4) Given that the angle is in the first quadrant, you know that cosine is positive and the final answer is:
cos(Θ) =
And that is the answer.