Given sinx=-3/5 and x is in quadrant 3, what is the value of tan x/2?
2 answers:
Answer:
-3
Step-by-step explanation:
In the attached image we can see the tan(x/2) relation with sine and cosine
tan(x/2)=sinx/(1+cosx)
sinx=-3/5
and from the triangle we can see that the cosine is equal to -4/5 (this triangle is also called a notable triangle of sides 3,4,5 in lenght)
tan(x/2)=(-3/5)/(1-4/5)
tan(x/2)=-3
You might be interested in
Answer:
Step-by-step explanation:
answer:
Step-by-step explanation:
On this question we see that we are given two points on a certain graph that has a maximum point at 57 feet and in 0.76 seconds after it is thrown, we know can say this point is a turning point of a graph of the rock that is thrown as we are told that the function f determines the rocks height above the road (in feet) in terms of the number of seconds t since the rock was thrown therefore this turning point coordinate can be written as (0.76, 57) as we are told the height represents y and x is represented by time in seconds. We are further given another point on the graph where the height is now 0 feet on the road then at this point its after 3.15 seconds in which the rock is thrown in therefore this coordinate is (3.15,0).
now we know if a rock is thrown it moves in a shape of a parabola which we see this equation is quadratic. Now we will use the turning point equation for a quadratic equation to get a equation for the height which the format is , where (p,q) is the turning point. now we substitute the turning point
, now we will substitute the other point on the graph or on the function that we found which is (3.15, 0) then solve for a.
0 = a(3.15 - 0.76)^2 + 57
-57 =a(2.39)^2
-57 = a(5.7121)
-57/5.7121 =a
-9.9788169 = a then we substitute a to get the quadratic equation therefore f is
Answer:
Seven cups of canned apples are required to make apple pie recipe
Step-by-step explanation:
The weight of one canned apple is 0.45 pounds
Weight of total canned apple required to make the apple pie recipe is 3 pounds.
Total number of cups of canned apples required
So approximately seven cups of canned apples are required to make apple pie recipe