SOLUTION: Find the exact value of cos θ if the terminal side of θ is standard position contains the point (6,-8).
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Question 42331: Find the exact value of cos θ if the terminal side of θ is standard position contains the point (6,-8).
Answer by psbhowmick(878) (Show Source): You can put this solution on YOUR website!
The coordinates of P are (6,-8).
AO = 6 units and AP = -8 units
From Pythagorus' theorem in rightangled triangle OAP,
or
or
or
or
So, OP = 10 units
Now, cos θ = cos(< AOP) = = =
Note:
sin θ = sin(< AOP) = = = and tan θ = tan(< AOP) = = =
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