To simplify the expression, first, we need to break it down into manageable parts while keeping in mind the trigonometric identities that can help us.

Denote and use identities such as and . You can also remember that and are periodic functions, which means properties can be leveraged even if specific angles aren’t immediately obvious.

Combining all these transformations and using angle subtraction formulas can help simplify the expression in steps. Moreover, ensuring you’re recognizing patterns between trigonometric functions can lead to powerful simplifications, such as recognizing or complementary angles summing to 90°.

When tackling complex trigonometric expressions, many mistakes come from overlooking these identities or misapplying angle transformations; thus, ensuring you’re consistent with applying the correct identities can save you a lot of headache down the line!