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Prove that: sin 105^@+cos 105^@=cos 45^@...

Prove that: `sin 105^@+cos 105^@=cos 45^@`

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To prove that \( \sin 105^\circ + \cos 105^\circ = \cos 45^\circ \), we will follow these steps: ### Step 1: Rewrite \( 105^\circ \) We can express \( 105^\circ \) as \( 60^\circ + 45^\circ \). This will help us use the sine and cosine addition formulas. \[ \sin 105^\circ = \sin(60^\circ + 45^\circ) \] ...
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