Question

sin square x + sin square 30°= 1 ​

Answer 1

Step-by-step explanation:

${ \sin }^{2} x + { \sin }^{2} {30}^{.} = 1 \\ \\ {sin}^{2} x + x { (\frac{1}{2}) }^{2} = 1 \\ \\ {sin}^{2} x = 1 - \frac{1}{4} \\ \\ {sin}^{2} x = \frac{4 - 1}{4} \\ \\ {sin}^{2} x = \frac{3}{4} \\ \\ sin \: x = \frac{ \sqrt{3} }{2} \\ \\ \sin = \frac{ \sqrt{3} }{2} = {60}^{.} \\ \\ x = {60}^{.} \\ \\ \sin(60) = \frac{ \sqrt{3} }{2}$

Answer 2

$\Large\frak{\underline{\underline{Answer:}}}$

${ \sin }^{2} x + { \sin }^{2} {30}^{.} = 1 \\ \\ {sin}^{2} x + x { (\frac{1}{2}) }^{2} = 1 \\ \\ {sin}^{2} x = 1 - \frac{1}{4} \\ \\ {sin}^{2} x = \frac{4 - 1}{4} \\ \\ {sin}^{2} x = \frac{3}{4} \\ \\ sin \: x = \frac{ \sqrt{3} }{2} \\ \\ \sin = \frac{ \sqrt{3} }{2} = {60}^{.} \\ \\ x = {60}^{.} \\ \\ \sin(60) = \frac{ \sqrt{3} }{2}$