Asked by Lex
I need help on these problems: Find the exact value of tan(23pi/6)
also, Find the reference angle in radians and degrees for (34pi/18)
please help walk me through these.
also, Find the reference angle in radians and degrees for (34pi/18)
please help walk me through these.
Answers
Answered by
MathMate
tangent has a period of π
so
tan(x) = tan(x+π) = tan(x + 2π) ...
Also, tan(x)=-tan(π - x)
so
tan(23π/6)
=tan(5π/6 + 3π)
=tan(5π/6)
=-tan(π/6)
=-√3/3
A reference angle is the acute angle between the terminal side of the angle and the x-axis.
So the reference angle of 34π/18 is 2π/18 = π/9 radians = &pi/9 *(180/&pi)° = 20°
so
tan(x) = tan(x+π) = tan(x + 2π) ...
Also, tan(x)=-tan(π - x)
so
tan(23π/6)
=tan(5π/6 + 3π)
=tan(5π/6)
=-tan(π/6)
=-√3/3
A reference angle is the acute angle between the terminal side of the angle and the x-axis.
So the reference angle of 34π/18 is 2π/18 = π/9 radians = &pi/9 *(180/&pi)° = 20°
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