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The value of sin 78^@ - sin 66^@ - sin ...

The value of `sin 78^@ - sin 66^@ - sin 42^@ + sin 6^@` is

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To solve the expression \( \sin 78^\circ - \sin 66^\circ - \sin 42^\circ + \sin 6^\circ \), we can use the sine difference identity. Let's break it down step by step. ### Step 1: Group the terms We can group the terms as follows: \[ (\sin 78^\circ - \sin 42^\circ) + (\sin 6^\circ - \sin 66^\circ) \] ...
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