Trigonometry Examples

Set up the polynomials to be divided. If there is not a term for every exponent, insert one with a value of .
--+-
Divide the highest order term in the dividend by the highest order term in divisor .
+
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Multiply the new quotient term by the divisor.
+
--+-
+-
The expression needs to be subtracted from the dividend, so change all the signs in
+
--+-
-+
After changing the signs, add the last dividend from the multiplied polynomial to find the new dividend.
+
--+-
-+
+
Pull the next term from the original dividend down into the current dividend.
+
--+-
-+
++
Divide the highest order term in the dividend by the highest order term in divisor .
++
--+-
-+
++
Multiply the new quotient term by the divisor.
++
--+-
-+
++
+-
The expression needs to be subtracted from the dividend, so change all the signs in
++
--+-
-+
++
-+
After changing the signs, add the last dividend from the multiplied polynomial to find the new dividend.
++
--+-
-+
++
-+
+
Pull the next term from the original dividend down into the current dividend.
++
--+-
-+
++
-+
+-
Divide the highest order term in the dividend by the highest order term in divisor .
+++
--+-
-+
++
-+
+-
Multiply the new quotient term by the divisor.
+++
--+-
-+
++
-+
+-
+-
The expression needs to be subtracted from the dividend, so change all the signs in
+++
--+-
-+
++
-+
+-
-+
After changing the signs, add the last dividend from the multiplied polynomial to find the new dividend.
+++
--+-
-+
++
-+
+-
-+
+
The final answer is the quotient plus the remainder over the divisor.
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