From the figure, we immediately have
cos(θ) = 8/17
sin(θ) = 15/17
By definition of tangent,
tan(2θ) = sin(2θ)/cos(2θ)
Recall the double angle identities:
sin(2θ) = 2 sin(θ) cos(θ)
cos(2θ) = cos²(θ) - sin²(θ) = 2 cos²(θ) - 1
Then
tan(2θ) = (2 sin(θ) cos(θ)) / (2 cos²(θ) - 1)
tan(2θ) = (2 × 15/17 × 8/17) / (2 × (8/17)² - 1)
tan(2θ) = -240/161
Sqrt(2) = 1.41
so it would be between 1 and 2
Answer is A
Answer:
3
Step-by-step explanation:
First step: Find the slope, Using the Formula y2 - y1 / x2 - x1 =
6-4=2 3-1=2 then u divde the y/x 2/2=1 So the slope is 1.
Step 2: Use the Slope- Intercept formula, Y=mx+b so 4 = 1(1)+b so 4 = 1 + b
Step 3: subtract 1 on both sides so 4-1=3 1-1=0 so 3 is the Y-Intercept.
Intercept form is: y = a(x - p)(x - q)
It is given that: p = 14, q = -6, x = 14, y = 4
4 = a(14 - 12)(14 - (-6))
4 = a(2)(20)
4 = 40a
Answer: y = 
(x - 14)(x + 6)
Answer:
2x² + 6x + 20
Step-by-step explanation:
See the picture
