Hi there! Use the following identities below to help with your problem.
What we know is our tangent value. We are going to use the tan²θ+1 = sec²θ to find the value of cosθ. Substitute tanθ = 4 in the second identity.
As we know, sec²θ = 1/cos²θ.
And thus,
Since the given domain is 180° < θ < 360°. Thus, the cosθ < 0.
Then use the Identity of sinθ = tanθcosθ to find the sinθ.
Answer
- sinθ = -4sqrt(17)/17 or A choice.
Answer:
y = -2/3x - 3
Step-by-step explanation:
y = mx + b
m = slope
(-3,-1) = (x,y)
<em>Plus in the coordinates</em>
-1 = -2/3(-3) + b
<em>negative times negative = positive</em>
-2/3 * -3 = 2
-1 = 2 +b
<em>Use inverse operations</em>
-2 --2
-3 = b
y = -2/3x - 3
We write the translation one by one:
D (3, 5)
D' (-6, 2)
That translates to: (x - 9, y - 3), because that is for passing from D to D': (3 - 9, 5 - 3) = (-6, 2).
Therefore if it is true for D and D' then, it has to be true for all others (you can check) for that rule to be true, so the correct answer is:
(x, y)→(x − 9, y − 3)
Step-by-step explanation:
3(2x+4)
<em>3</em><em>×</em><em>2x</em><em>+</em><em>3</em><em>×</em><em>4</em>
<em>6</em><em>x</em><em>+</em><em>1</em><em>2</em>