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Evaluate each of the following:( cos 0°+sin 45°+sin 30°) ( sin 90° - cos 45° + cos 60°)

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Given: ( cos 0°+sin 45°+sin 30° ) ( sin 90° - cos 45° + cos 60° ) 

To find: The value of the above. 

Solution: Use the formulas:

sin 30 = \(\frac{1}2\), sin 45 = \(\frac{1}{\sqrt2}\), cos 60 = \(\frac{1}2\)

Solve,( cos 0°+sin 45°+sin 30°) ( sin 90° - cos 45° + cos 60°)

Use the identity: (a - b)(a + b) = a- b2

\(\frac{14}8\)

\(\frac{7}2\)

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