Question

sin 75° ka maan kya hota hai​

Answer 1

Step-by-step explanation:

$\sin(75) = \sin(30 + 45) \\ \: formula \\ ( \sin(x + y) = \sin(x). \cos(y) + \cos(x). \sin(y) ) \\ \\ \sin(30 + 45) = \sin(30) \cos(45) + \cos(30) \sin(45) \\ \\ = \frac{1}{2} \times \frac{1}{ \sqrt{2} } + \frac{ \sqrt{3} }{2} \times \frac{1}{ \sqrt{2} } \\ \\ = \frac{1}{2 \sqrt{2} } + \frac{ \sqrt{3} }{2 \sqrt{2} } \\ \\ = \frac{1 + \sqrt{3} }{2 \sqrt{2} } \\ \\ = \frac{(1 + \sqrt{3} ) \sqrt{2} }{2 \times 2} \\ \\ = \frac{ \sqrt{2} + \sqrt{6} }{4}$