Question

ii) 4cos 45º - 3cos45° + sin45° evaluate each of the following​

Answer 1

Step-by-step explanation:

4cos45°- 3cos45° +sin45°

$4( \frac{1}{ \sqrt{2} } ) - 3( \frac{1}{ \sqrt{2} } ) + \frac{1}{ \sqrt{2} }$

Because cos45° =sin 45°= 1/√2

$\frac{4}{ \sqrt{2} } - \frac{3}{ \sqrt{2} } + \frac{1}{ \sqrt{2} } \\ = \frac{1}{ \sqrt{2} } + \frac{1}{ \sqrt{2} } \\ = \frac{2}{ \sqrt{2 } } \\ = \frac{2}{ \sqrt{2} } \times \frac{ \sqrt{2} }{ \sqrt{2} } \\ = \frac{2 \sqrt{2} }{2 } \\ = \sqrt{2}$

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