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2sin€- 3 |
| Answer» We know that, Sin30° =(1/2), Cos45°=(1/√2), tan60°=√3, putting these values in the given expression, we get :-{tex}2{\\sin ^2}30^\\circ - 3{\\cos ^2}45^\\circ + {\\tan ^2}60^\\circ {/tex}{tex} = 2{\\left( {\\frac{1}{2}} \\right)^2} - 3\\left( {\\frac{1}{{\\sqrt 2 }}} \\right)^2+ {\\left( {\\sqrt 3 } \\right)^2}{/tex}{tex} = \\frac{2}{4} - \\frac{3}{2} + 3{/tex}{tex} = \\frac{{2 - 6 + 12}}{4}{/tex}{tex} = \\frac{8}{4} = 2{/tex} | |