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Find the exact value of the expression. Write the answer as a single fraction. Do not use a calculator.
[tex]sin \frac{23 \pi }{4} cos \frac{11 \pi }{6} + cos \frac{23 \pi }{4} sin \frac{11 \pi }{6} [/tex]
Simplify your answer. Type an exact answer, using radicals as needed. Use integers or fractions for any numbers in the expression. Rationalize any denominators. 



Answer :

Use the rule of SINE(A+B)= SINACOSB+COSASINB

:. SIN(23pi/4+11pi/6)

 -add both fractions

:. SIN(138pi/24+44pi/24)

-Simplify

:.SIN(182pi/24)

And simplify again the fraction

:.SIN(91pi/12) ---------Final answer



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