Answer:
- sin = -√3/2
- cos = -1/2
- tan = √3
- sec = -2
- csc = (-2/3)√3
- cot = (√3)/3
Step-by-step explanation:
See the attached picture for a drawing of the angle and its terminal point coordinates. Those are (cos(4π/3), sin(4π/3)), so we have the following trig function values:
sin(4π/3) = -√3/2
cos(4π/3) = -1/2
tan(4π/3) = sin/cos = √3
sec(4π/3) = 1/cos = -2
csc(4π/3) = 1/sin = -(2√3)/3
cot(4π/3) = 1/tan = (√3)/3
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<em>Additional comment</em>
It helps to know that 1/√a = (√a)/a. This lets you write the ratios with a rational denominator in each case.
-2x + 6 - 13x + 16
= -15x + 22
f(x) + n - translate the graph of f(x) n units up
f(x) - n - translate the graph of f(x) n units down
f(x + n) - translate the graph of f(x) n units left
f(x - n) - translate the graph of f(x) n units right
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We have
y = |x - 2|
f(x) = |x| → f(x - 2) = |x - 2|
<h3>Answer: c. Translate the graph of y = |x| two units right.</h3>
Answer:
6
Step-by-step explanation:
Each ice cream cone costs 4 quarters or 10 dimes, so Simon has ...
20/4 + 12/10 = 5 + 1.2 = 6.2
times the price of an ice cream cone. He can buy 6 cones for his friends.
