Question

Sin30-sin90+2cos0/tan30+tan60

Answer 1

sin 30 = 1/2

sin 90 = 1

cos 0 = 1

tan 30 =1/root3

tan 60 = root3

so we get

1/2-1+2×1/1/√3 ×√3

1/2-1+2/√3/√3

1-2+4/2

3/2

Answer 2

$\bold \color{green} {{ \underline{ \underline \green \mid\red {\mid{required \: answer}}} \red \mid \mid}}$

we have,

$\bold { \frac{ { \sin }^{2} 45 \degree + { \cos}^{2} 45 \degree}{ {tan}^{2}60 \degree } }</p><p> \\ \bold{ \implies \frac{{( \sin45 \degree) }^{2} + {( \cos45 \degree) }^{2} }{ {( \tan60 \degree)}^{2} } }$

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

$\huge \bold{\implies \frac{1}{3} }</p><p> \\ hence.. \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \\ \frac{1}{3} \: is \: \:the \: \: right \ \: answer..$