Question

Solve for x; where 0º < x < 90
sin2 x + cos2 30º =5/4​

Answer 1

Answer:

the formula for this is sin^/cos

Answer 2

Answer:

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$\large\boxed{ \fcolorbox{red}{purple}{hope \: it \: help \: you}}$

Step-by-step explanation:

$\sf\purple{ {sin}^{2}x + {cos}^{2}30°= \frac{5}{4}} \\ \sf\purple{ = > {sin}^{2}x = \frac{5}{4} - {cos}^{2}30° } \\ \sf\purple{ = > {sin}^{2}x = \frac{5}{4} - { (\frac{ \sqrt{3} }{2} }^{2})} \\ \sf\purple{ = > {sin}^{2}x = \frac{5}{4} - \frac{3}{4} } \\ \sf\purple{ = > {sin}x = ±\sqrt{\frac{2}{4} } } \\ \sf\purple{ = > {sin}x = {\frac{1}{\sqrt2} }} \\ \\ \sf\purple{=>sinx = sin45°} \\ \sf\purple{=>x = 45°}$