SOLUTION: Determine an exact value for the expression {{sin pi/3 - cos 5 pi/6} divided by {1 - tan 3 pi/4 cot pi/4}}
This is what i tried and got:
{square root 3 - negative square root 3
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Question 692226: Determine an exact value for the expression {{sin pi/3 - cos 5 pi/6} divided by {1 - tan 3 pi/4 cot pi/4}}
This is what i tried and got:
{square root 3 - negative square root 3/2} divided by {1- (-1)(1) = 3 multiplied by square root 3 divided by 1
Answer by jsmallt9(3758) (Show Source): You can put this solution on YOUR website!
is a special angle. We should know that its sin is
is also special angle. (Any integer multiple of is a special angle.) The reference angle is and the cos of this is . Since is in the second quadrant and cos is negative there,
is also special angle. (Any integer multiple of is a special angle.) The reference angle is and the tan of this is 1. Since is in the second quadrant and tan is negative there,
is a special angle. We should know that its cot is 1.
Substituting in all these values into your expression we get:
which simplifies as follows:
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