First, tan(<em>θ</em>) = sin(<em>θ</em>) / cos(<em>θ</em>), so if cos(<em>θ</em>) = 3/5 > 0 and tan(<em>θ</em>) < 0, then it follows that sin(<em>θ</em>) < 0.
Recall the Pythagorean identity:
sin²(<em>θ</em>) + cos²(<em>θ</em>) = 1
Then
sin(<em>θ</em>) = -√(1 - cos²(<em>θ</em>)) = -4/5
and so
tan(<em>θ</em>) = (-4/5) / (3/5) = -4/3
The remaining trig ratios are just reciprocals of the ones found already:
sec(<em>θ</em>) = 1/cos(<em>θ</em>) = 5/3
csc(<em>θ</em>) = 1/sin(<em>θ</em>) = -5/4
cot(<em>θ</em>) = 1/tan(<em>θ</em>) = -3/4
To solve this, you divide the price by the amount of ounces, and find the one which results in the smallest number. That was B, $4.29 for 12 ounces.
Answer:
The side lengths of similar triangles are proportional
Step-by-step explanation:
Answer
The points of intersection of the ellipse and its major axis are called its vertices. Here the vertices of the ellipse are A (a, 0) and A′ (− a, 0).
Step-by-step explanation:
The answer would be 36
Hope this helps! :)
~Asuka
