Answer:
see explanation
Step-by-step explanation:
Using the trigonometric identity
sin²x + cos²x = 1 ⇒ sin²x = 1 - cos²x
Given
sin²x + 7cosx + 17
=1 - cos²x + 7cosx + 17
= - cos²x + 7cosx + 18 ← factor out - 1 from each term
= - (cos²x - 7cosx - 18)
Consider the factors of the constant term (- 18) which sum to give the coefficient of the cosx term (- 7)
The factors are - 9 and + 2, thus
= - (cosx - 9)(cosx + 2) ← in factored form
All you need to solve these is a knowledge of the 3 main trigonometrical ratios.
I a right angled triangle where A is a non right angle:-
sin A = opposite / hypotenuse (hypotenuse is the sloping side)
cos A = adjacent / hyptenuse ( the adjacent side is the one the angle 'sits' on)
tan A = opposite / adjacent ( the opposite side is the one opposite the angle)
So to find the length of segment x in the first problem use
sin 61 = x / 50
then
x = 50*sin61 = 43.73
and to find the length of y:-
cos 61 = y / 50
y = 60 cos 61 = 24.24
The other questions can be solved in a similar way.
Answer:
Step-by-step explanation:
Now 
and
So 
Well for this equation if your trying to find the distances (d)
You need to know the speed (S) and the amount of hours (T) she traveled
So your equation would look like this d= S* T
