SOLUTION: An angle measures 5π/4 radiant. A. How would the sketch of this graph look in standard position. B. What are {{{ 2 }}} co-terminal angles ({{{ 1 }}}positive and {{{ 1 }}}

Algebra ->  Test -> SOLUTION: An angle measures 5π/4 radiant. A. How would the sketch of this graph look in standard position. B. What are {{{ 2 }}} co-terminal angles ({{{ 1 }}}positive and {{{ 1 }}}      Log On


   

Question 1062437: An angle measures 5π/4 radiant.
A. How would the sketch of this graph look in standard position.
B. What are +2+ co-terminal angles (+1+positive and +1+negative).
C. Can you convert the measure in angles to degrees?
Thanks!
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
+5%2Api%2F4+=+4%2Api%2F4+%2B+pi%2F4+
+5%2Api%2F4+=+pi+%2B+pi%2F4+
This is a CCW turn of the radial vector +pi%2F4+
radians past the +pi+ radian vector,
putting the angle in the 3rd quadrant
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The negative co-terminal angle is
a CW turn of the radial vector by
+-pi%2F2+-+pi%2F4+=+-3%2Api%2F4+, the same position in the 3rd quadrant
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+pi%2F4+ radians = +45+ degrees
+5%2Api%2F4+ radians = +5%2A45+ degrees
+5%2A45+=+225+ degrees
( also +-3%2Api%2F4+ radians = +-135+ degrees
is the negative co-terminal angle )