Question

8. If √3 tan 0 = 1 then evaluate (cos² 0 - sin²o).​

Answer 1

Answer:

$\sqrt{3} \tan \theta = 1 \\ \tan \theta = \frac{1}{ \sqrt{3} } \\ \tan \theta = \tan30 \degree \\ \color{blue}{ \underline{on \: comparng} : } \\ \boxed{ \theta = 30 \degree} \\ \\ { \cos}^{2} \theta - { \sin}^{2} \theta \\ = { \cos}^{2} 30 \degree - { \sin}^{2} 30 \degree \\ = { (\frac{ \sqrt{3} }{2} )}^{2} - {( \frac{1}{2} )}^{2} \\ \\ = \frac{3}{4} - \frac{1}{4} \\ \\ = \frac{3 - 1}{4} \\ \\ = \frac{1}{2} \\ \\ \boxed{{ \cos}^{2} \theta - { \sin}^{2} \theta = \frac{1}{2} } \\ \\\red{\mathfrak{ \large{\underline{{Hope \: It \: Helps \: You}}}}} \\ \blue{\mathfrak{ \large{\underline{{Mark \: Me \: Brainliest}}}}}$