Question

Evaluate the following 2 (cos four square 60°+sin four square 60°) -(tan square 60° +cot square 45°)+3 sec square 30°​

Answer 1

ANSWER :-

$\small \rm{2(cos)}^{4} </p><p> 60{ \degree}</p><p> +sin ^</p><p>4</p><p> 30 { \degree}</p><p> )−(tan </p><p>^2</p><p> 60 { \degree}</p><p> +cot </p><p>^2</p><p> 45 </p><p> \degree</p><p> )+3sec </p><p>^2</p><p> 30 </p><p> \degree$

$\large\rm =[( </p><p> \frac{1}{2} </p><p> </p><p> ) </p><p> ^4</p><p> +( </p><p> \frac{1}{2} </p><p> </p><p> ) </p><p>^4</p><p> ]−[( </p><p> \sqrt{3 } </p><p> </p><p> ) </p><p>^2</p><p> +(1) </p><p>^2</p><p> ]+3( </p><p> \frac{2}{ \sqrt{3} } </p><p> </p><p> ) </p><p>^2$

$\large\rm{=( </p><p> \frac{1}{16} </p><p> </p><p> + </p><p> \frac{1}{16} </p><p> </p><p> )−(3+1)+3× </p><p> \frac{4}{3} }$

$\small\rm{ =2× </p><p> \frac{1}{8} </p><p> </p><p> −4+4 }\\ </p><p> </p><p>$

$\: \large \rm{= </p><p> \frac{1}{4} }</p><p>$

Answer 2

Step-by-step explanation:

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