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3 years ago

I don’t know how to do this. Can you help please help me ?

Mathematics

1 answer:

N76 [4]3 years ago

3 0

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

_____

<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.

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