Question

(1-sin 45 + sin 30 ) (1+cos 45" + cos 60") =7/4​

Answer 1

Step-by-step explanation:

$(1 - \sin45 + \sin30 )(1 + \cos45 + \cos60) = \frac{7}{4} \: \\ \\ (1 - \frac{1}{ \sqrt{2} } + \frac{1}{2} )(1 + \frac{1}{ \sqrt{2} } + \frac{1}{2} ) \\ \\ \small{1 + \frac{1}{ \sqrt{2} } + \frac{1}{2} - \frac{1}{ \sqrt{2} } - \frac{1}{2} - \frac{1}{2 \sqrt{2} } + \frac{1}{2} + \frac{1}{2 \sqrt{2} } + \frac{1}{4} } \\ \\ \small{1 + \frac{1}{2} + \frac{1}{4} } \\ \\ \small{ \frac{4 + 2 + 1}{4} } \\ \\ = \frac{7}{4} \\ \\ Hence, </p><p> \\ </p><p>LHS = RHS$