[(sec2 theta+1) sqrt(sec^2 theta-1)]xx1/2(cot theta- tan theta) ? View Solution What is the value of (2(1-sin^2 theta) cosec^2 theta)/(cot^2 theta(1+tan^2 theta))-1 ? (2(1-sin^2 theta) cosec^2 theta)/(cot^2 theta(1+tan^2 theta))-1 का मान क...
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【解析】答案:D 提示: $$ \sin \theta / \cos \theta + \cos \theta / \sin \theta = 1 / \sin \theta \cos \theta = 2 $$,所以$$ \sin \theta \cos \theta = 1 / $$ 2, $$ ( \sin \theta + \cos \theta ) ^ { 2 } = 1 + 2 \sin \theta \cos \theta = 2 $$...
- 利用反三角函数的公式，即利用一些已知的反三角函数的值，通过一些代数或三角的变换，求出给定的数对应的反三角函数的值。例如，求arctan(√3)的值，即求解方程tanx=√3，可以利用反三角函数的公式arctanx=π/2-arccotx，将arctan(√3)转化为arccot(√3)，又由于arccot(√3)=arctan(1/√3)，而arctan...
百度试题 结果1 题目【题目】若$$ \tan \theta = 2 $$.则$$ \cot \theta = \_ . $$ 相关知识点: 试题来源: 解析 【解析】 【答案】$$ \frac { 1 } { 2 } $$ 反馈 收藏
Answer to: Prove: tan {theta} / {2} = csc theta - cot theta By signing up, you'll get thousands of step-by-step solutions to your homework...
百度试题 结果1 题目若\( \tan \theta = 2 \),那么 \( \cot \theta \) 的值是 ___。相关知识点: 试题来源: 解析 0.5 反馈 收藏
csc(θ)=−√52csc(θ)=-52这是各个三角函数值的解。 sin(θ)=−2√55sin(θ)=-255 cos(θ)=−√55cos(θ)=-55 tan(θ)=2tan(θ)=2 cot(θ)=12cot(θ)=12 sec(θ)=−√5sec(θ)=-5 csc(θ)=−√52csc(θ)=-52tan(θ)=2,sin(θ)<0tan(θ)=2,sin(θ)<0(...
【解析】 ∵cotα=-1/2 , ∴tanα=1/(cotα)=-2 ,由二倍角正切公式得tan2α=(2tanα)/(1-tan^2α)=(2*(-2))/(1-(-2)^2)=4/3 故答案为4/3【二倍角的正切】2 tan ctan2α=(2tanα)/(1-tan^2α) 【注意事项】在公式tan(A+B)=(tanA+tanB)/(1-tanAtanB)中,当A=B...
1-⑧:\displaystyle cot(\alpha-\beta)=\frac{cot\alpha·cot\beta+1}{cot\beta-cot\alpha} 五、倍角&半角公式 该部分内容可由公式直接推出。 1. 倍角公式 2-①:sin2α=2sinα·cosα (推理:将公式1-①中的β换成α) 2-②:cos2α=cos²α-sin²α ...