Question

Evaluate (COS0° + sin 45° + sin30°)(sin 90° - COS 45° + cos 60°).​

Answer 1

Answer:

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

(1/ root 2 + 1/2 )(1- 1/ root 2 + 1/2)

(2+ root 2 / 2root 2 )(2 root 2 - 2 + root 2)

4 root 2 + 2 / 8

2( 2 root 2+ 1 )/4

(2 root + 1 ) /2

Answer 2

Answer:

$(cos0 + \sin30)(sin90 - cos45 + cos60)$

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

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

$= ( \frac{3}{2} )( \frac{3 \sqrt{2} }{ \sqrt{2} } )$

$= \frac{3 \times 3 \sqrt{2} }{2 \times \sqrt{2} }$

$= \frac{9 \sqrt{2} }{2 \sqrt{2} }$

$= \frac{9}{2}$