Question

the value of 3+cot76cot16/cot76 +cot 16 is

Answer 1

3+0.24×3.48/0.24+3.48
=3+0.8352/3.72
=1.03

Answer 2

$= </p><p>tan76+tan16</p><p>3tan76tan16+1</p><p> </p><p> </p><p></p><p>= </p><p>tan76+tan16</p><p>1−tan76tan16</p><p> </p><p> +2 </p><p>tan76+tan16</p><p>(2tan76tan16)</p><p> </p><p> </p><p></p><p>= </p><p>sin76cos16+cos76sin16</p><p>3sin76sin16+cos76cos16</p><p> </p><p> </p><p></p><p>= </p><p>sin(76+16)</p><p>2sin76sin16+sin76sin16+cos76cos16</p><p> </p><p> </p><p></p><p>= </p><p>sin(76+16)</p><p>cos(76−16)−cos(76+16)</p><p> </p><p> </p><p></p><p>= </p><p>sin( </p><p>92</p><p>76+16</p><p> </p><p> </p><p> </p><p> )</p><p>2cos( </p><p>76−16</p><p> </p><p> </p><p>60</p><p> )−cos( </p><p>76+16</p><p> </p><p> </p><p>92</p><p> )</p><p> </p><p> </p><p></p><p>= </p><p>sin92</p><p>1−cos92</p><p> </p><p> =tan46 </p><p>∘$