Question: Emily has been asked to create a game using cupcakes for a convention. The organizers have given her an interesting challenge: they want her to

Emily has been asked to create a game using cupcakes for a convention. The organizers have given her an interesting challenge: they want her to decorate cupcakes that incorporate math problems! Specifically, they would like her to decorate cupcakes that use trigonometry formulas. Emily decides to create cupcakes that involve the trigonometric identities where the event attendees will be challenged to match up the expression on one cupcake with the correct rewritten answer displayed on another cupcake.

One of the problems she needs to solve involves rewritingsin(x+7/6) in terms ofsinxandcosx. How would Emily rewrite this for the matching cupcake in the game?

Enclose arguments of functions in parentheses. For example, sin(2x).

sin(x+7/6)=________?

Show your work and explain how you arrived at your answer.

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