Question #64b9d

1 Answer
Alan P.
Nov 4, 2017

#cos(510^circ)=-sqrt(3)/2#

Explanation:

#510^circ# is equivalent to #360^circ+150^circ#

#150^circ=180^circ-30^circ#

Therefore #510^circ# has a reference angle of #30^circ# in Quadrant II

#30^circ# is one of the common angles with #cos(30^circ)-sqrt(3)/2#

In Quadrant II, #cos# is negative (CAST designation of quadrants)

So #cos(510^@)=-sqrt(3)/2#

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