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已知且cosθ>0,请问下列哪些选项是正确的? (1)tanθ<0(2)(3)s...

已知manfen5.com 满分网且cosθ>0,请问下列哪些选项是正确的?
(1)tanθ<0(2)manfen5.com 满分网(3)sin2θ>cos2θ
(4)sin2θ>0(5)标准位置角θ与2θ的终边位在不同的象限.
先判断θ为第四象限角,由sinθ的值求出cosθ的值,计算tanθ的值,判断(1)正确; 再求出tanθ的平方,可得(2)正确;  求出sin2θ和 cos2θ  的值,可得(3)不正确; 利用二倍角公式计算sin2θ的值 和cos2θ的值,可得(4)、(5)不正确. 【解析】 因为  ,故θ为第四象限角,, 所以,(1)<0 正确, (2) 正确, (3)由 ,故sin2θ<cos2θ,故(3)不正确, (4),故(4)不正确, (5),∵sin2θ<0,cos2θ>0,∴2θ为第四象限角, 故角θ与2θ的终边在相同的象限,故(5)不正确. 综上,只有(1)(2)正确.
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  • 题型:解答题
  • 难度:中等

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