Answer:
4cotα=tanα
4(1/tanα)=tanα
(4/tanα)=tanα
cross multiply
=> 4=tan²α
√4=√tan²α
±2=tanα
α=arc( tan) |2|
α=63.4° ( in first quadrant)
and
α=180+63.4=243.4 in the third quadrant
since we also found a negative answer( i.e –2) then α also lies in quadrants where it gives a negative value(i.e second and fourth quadrants)
α=180–63.4=116.6° in the second quadrant
α=360–63.4=296.6 in the fourth quadrant
therefore theta( in my case, alpha) lies in all four quadrants and is equal to:
α=63.4°,243.4°,116.6°and 296.6°
Answer:
As per the statement given that and
⇒ Let the parent function be
Vertically Stretch: If y =f(x) , then y = a f(x) gives a vertical stretch if a> 1.
Rotation about x -axis:
Shifting down: To shift a graph down some units c, we will be subtracting outside the function: y= f(x)-c.
Just Multiplying the parent function by 2 means you are stretching it vertically,
i,e F(x) =
adding the minus sign means you are flipping or rotating it about the x-axis
i,e
and subtracting 7 means you are moving it down by 7 units
=G(x)
Therefore, the statement best compare the graph G(x) with the graph of F(x)
the graph of G(x) is the graph of F(x) stretched vertically by 2 units, flipped over the x-axis, and shifted 7 units down.
Answer:
The solution would be that it is adding 9 to every value each time. The pattern is a difference of 9.
Step-by-step explanation:
22+9=31
31+9=40
40+9=49
Answer:
Step-by-step explanation:
1. take out constants
( 5 × 2 × 4 × - 4 × - 2)
2. simplify 5 × 2 to 10
(10 × 4 - 4 × - 2)
3. simplify 10 × 4 to 40
(40 × - 4 × - 2)
4. simplify 40 × -4 to -160
(-160 × - 2)
5. simplify -160 × -2 to 320
6. use product rule:
7. simplify 5 + 5 to 10
8. simplify 10 + 5 to 15