Question

(sin 90°+cos60°+cos45°)*(sin30°+cos0°-cos45°)​

Answer 1

Step-by-step explanation:

$( \sin( 90) + \cos(60) + \cos(45) ) \times ( \sin(30) + \cos(0) - \cos(45) ) \\ \\ (1 + \frac{1}{2} + \frac{1}{ \sqrt{2} } ) \times ( \frac{1}{2} + 1 - \frac{1}{ \sqrt{2} } ) \\ \\ (a + b) \times (a - b) = {a}^{2} - {b}^{2} \\ \\ {(1 + \frac{1}{2} })^{2} - {( \frac{1}{ \sqrt{2} } )}^{2} \\ \\ {(\frac{3}{2}) }^{2} - \frac{1}{2} \\ \\ \frac{3}{4} - \frac{1}{2} \\ \\ \frac{1}{4}$