Question

sin^2 30° + cos^2 30° + tan^2 45°​

Answer 1

Answer:

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Answer 2

Answer:

$\Large\sf\underline\red{answer} \\ \\ \Large{\boxed{\mathfrak\red{\fcolorbox{magenta}{aqua}{2}}}} \\ \\ \Large\sf\underline\red{solution:-} \\ \\\sf {sin}^{2} 30\degree + {cos}^{2}30 \degree + {tan}^{2} 45\degree \\ \\ ⇒ \: \: \sf { (\frac{1}{2}) }^{2} + { (\frac{ \sqrt{3} }{2} )}^{2} + {(1)}^{2} \\ \\ ⇒ \: \: \sf \frac{1}{4} + \frac{3}{4} + 1 \\ \\ \sf\blue{(taking \: lcm)} \\ \\⇒ \: \: \frac{1 + 3 + 4}{4} \\ \\ ⇒ \: \: \:\sf \: \: \: \: \: \: \: \: \frac{8}{4} \\ \\ ⇒ \: \: \: \Large{\boxed{\mathfrak\red{\fcolorbox{magenta}{aqua}{2}}}} \\ \\ \Large\sf\underline\red{basic \: information} \\ \\ \star\sf \: sin30\degree \: = \frac{1}{2} \\ \\ \star\sf \: cos30\degree \: = \frac{ \sqrt{3} }{2} \\ \\ \star\sf \: tan45\degree = 1$