Question

find Sin60 *cot30-2 sec^2 45+3 cos60* tan45 -tan^2 60.​

Answer 1

Answer:

${ \huge{ \underline{ \bf{ \red{Question}}}}}$

${ \sf{sin \: 60 \times cot \: 30 - 2 {sec}^{2} 45 + 3cos60 \times tan45 - {tan}^{2}60 }}$

Solution:-

${ \implies{ \sf{sin60 \times cot30 - 2 {sec}^{2} 45 + 3cos60 \times tan45 - {tan}^{2} 60}}}$

${ \implies{ \frac{ \sqrt{3} }{2} \times \sqrt{3} - 2 \times ( { \sqrt{2} }^{2} ) + 3 \times \frac{1}{2} \times 1 - { (\sqrt{3} }^{2} ) }}$

${ \implies{ \frac{3}{2} - 2 \times 2 + \frac{3}{2} \times 1 - 3 }}$

${ \implies{ \frac{3}{2} - 4 + \frac{3}{2} - 3 }}$

${ \implies{ \frac{ - 5}{2} + \frac{3}{2} - 3}}$

${ \implies{ \frac{ - 2}{2} - 3}}$

${ \implies{{ \cancel{ \frac{ - 2}{2}}} - 3 }}$

${ \implies{ - 1 - 3}}$

${ \implies{ - 4}}$

-4 is your answer