Question

Find the value of Sin²30°+Cos²30=?​

Answer 1

$\huge{\underline{\underline{\bold{\sf{Given\::}}}}}$

• $\bf{sin}^{2}\:{30}^{°}\:+\:{cos}^{2}\:{30}^{°}$

${ }$

$\huge{\underline{\underline{\bold{\sf{Find\::}}}}}$

• $\bf{Their\:Values}$

$\huge{\underline{\underline{\bold{\sf{Solution\::}}}}}$

${ }$

• $\bf{We\:Know\:-}$

$\:\:\:\:\:\:\:\:\:\:\:\leadsto{\:\sf{sin\:30}^{°}\:\Longrightarrow{\frac{1}{2}}}$

$\:\:\:\:\:\:\:\:\:\:\:\leadsto{\:\sf{cos\:30}^{°}\:\Longrightarrow{\frac{\sqrt{3}}{2}}}$

${ }$

• $\sf{(}{\frac{1}{2}}{)}^{2}\:+\:{(}{\frac{\sqrt{3}}{2}}{)}^{2}$

$\:\:\:\:\:\:\:\:\:\::\:\Longrightarrow\:{\sf{\frac{1}{4}}\:+\:{\frac{3}{4}}}$

$\:\:\:\:\:\:\:\:\:\::\:\Longrightarrow\:{\sf{\frac{3\:+\:1}{4}}}$

$\:\:\:\:\:\:\:\:\:\::\:\Longrightarrow\:{\sf{\frac{4}{4}}}$

$\:\:\:\:\:\:\:\:\:\::\:\Longrightarrow\:{\sf{1}}$

${ }$

• $\therefore\:{\underline{\sf{So,\:the\:value\:is\:{\bold{1}}}}}$