评估据span class="katex">
罪据/span>2据/span>2据/span>5.据/span>∘据/span>确切地。据/p>
单位圈,角度大于据span class="katex">
2据/span>π据/span>
注意,这个问题简化为寻找值据span class="katex">
y据/span>在上图中。据/p>
自据span class="katex">
2据/span>2据/span>5.据/span>∘据/span>-据/span>1据/span>8.据/span>0.据/span>∘据/span>=据/span>4.据/span>5.据/span>∘据/span>那据span class="katex">
θ据/span>成角据span class="katex">
4.据/span>5.据/span>∘据/span>与负据span class="katex">
X据/span>-轴。此外,由于这是一个正确的三角形,因此角度必须是据span class="katex">
9.据/span>0.据/span>∘据/span>+据/span>4.据/span>5.据/span>∘据/span>+据/span>4.据/span>5.据/span>∘据/span>=据/span>1据/span>8.据/span>0.据/span>∘据/span>也就是说它是等腰的。因此,据span class="katex">
|据/span>X据/span>|据/span>=据/span>|据/span>y据/span>|据/span>.据/p>
根据勾股定理,据/p>
X据/span>2据/span>+据/span>y据/span>2据/span>2据/span>y据/span>2据/span>y据/span>2据/span>y据/span>=据/span>1据/span>=据/span>1据/span>=据/span>2据/span>1据/span>=据/span>±据/span>2据/span>2据/span>
.据/span>
通过检查,据span class="katex">
y据/span>是消极的,所以据span class="katex">
罪据/span>2据/span>2据/span>5.据/span>∘据/span>=据/span>-据/span>2据/span>2据/span>
.据span class="katex">
□据/span>
笔记:据/strong>最值据span class="katex">
θ据/span>难以或无法以这种方式评估,因此我们经常使用计算器来评估函数的近似值。据!-- end-example -->
在大多数问题中,为了利用毕达哥拉斯恒等式,最好是将所有三角函数转换成正弦和余弦函数。据/p>
如果据span class="katex">
棕褐色据/span>θ据/span>=据/span>3.据/span>1据/span>那据/span>什么是据span class="katex">
罪据/span>2据/span>θ据/span>1据/span>+据/span>因为据/span>2据/span>θ据/span>1据/span>还是据/span>
我们有据span class="katex-display">
棕褐色据/span>2据/span>θ据/span>+据/span>1据/span>床据/span>2据/span>θ据/span>+据/span>1据/span>=据/span>秒据/span>2据/span>θ据/span>=据/span>因为据/span>2据/span>θ据/span>1据/span>=据/span>csc据/span>2据/span>θ据/span>=据/span>罪据/span>2据/span>θ据/span>1据/span>.据/span>(据/span>1据/span>)据/span>(据/span>2据/span>)据/span>
自据span class="katex">
棕褐色据/span>θ据/span>=据/span>3.据/span>1据/span>那据/span>暗示据span class="katex">
床据/span>θ据/span>=据/span>3.据/span>那据/span>从据span class="katex">
(据/span>1据/span>)据/span>和据span class="katex">
(据/span>2据/span>)据/span>我们有据/p>
罪据/span>2据/span>θ据/span>1据/span>+据/span>因为据/span>2据/span>θ据/span>1据/span>=据/span>床据/span>2据/span>θ据/span>+据/span>1据/span>+据/span>棕褐色据/span>2据/span>θ据/span>+据/span>1据/span>=据/span>3.据/span>2据/span>+据/span>1据/span>+据/span>(据/span>3.据/span>1据/span>)据/span>2据/span>+据/span>1据/span>=据/span>9.据/span>1据/span>0.据/span>0.据/span>.据/span>□据/span>
毕达哥拉斯恒等式是非常有用的,因此经常值得对表达式进行平方来利用它们:据/p>
2据/span>-据/span>因为据/span>2据/span>α据/span>罪据/span>2据/span>α据/span>1据/span>-据/span>因为据/span>2据/span>α据/span>罪据/span>2据/span>α据/span>
2据/span>-据/span>因为据/span>2据/span>α据/span>罪据/span>2据/span>α据/span>1据/span>+据/span>因为据/span>2据/span>α据/span>罪据/span>2据/span>α据/span>
2据/span>+据/span>因为据/span>2据/span>α据/span>罪据/span>2据/span>α据/span>1据/span>+据/span>因为据/span>2据/span>α据/span>罪据/span>2据/span>α据/span>
2据/span>+据/span>因为据/span>2据/span>α据/span>罪据/span>2据/span>α据/span>1据/span>-据/span>因为据/span>2据/span>α据/span>罪据/span>2据/span>α据/span>
选择等效的据/p>
(据/span>秒据/span>2据/span>α据/span>-据/span>因为据/span>2据/span>α据/span>1据/span>+据/span>csc据/span>2据/span>α据/span>-据/span>罪据/span>2据/span>α据/span>1据/span>)据/span>⋅据/span>因为据/span>2据/span>α据/span>罪据/span>2据/span>α据/span>.据/span>
此问题是集合三角函数的一部分。据/p>
如果据span class="katex">
罪据/span>θ据/span>+据/span>因为据/span>θ据/span>=据/span>2据/span>1据/span>那据/span>什么是据span class="katex">
罪据/span>θ据/span>⋅据/span>因为据/span>θ据/span>还是据/span>
平衡上述等式的两侧给出据/p>
(据/span>罪据/span>θ据/span>+据/span>因为据/span>θ据/span>)据/span>2据/span>罪据/span>2据/span>θ据/span>+据/span>2据/span>⋅据/span>罪据/span>θ据/span>⋅据/span>因为据/span>θ据/span>+据/span>因为据/span>2据/span>θ据/span>=据/span>(据/span>2据/span>1据/span>)据/span>2据/span>=据/span>4.据/span>1据/span>.据/span>
自据span class="katex">
罪据/span>2据/span>θ据/span>+据/span>因为据/span>2据/span>θ据/span>=据/span>1据/span>那据/span>由此可见,据/p>
罪据/span>2据/span>θ据/span>+据/span>2据/span>⋅据/span>罪据/span>θ据/span>⋅据/span>因为据/span>θ据/span>+据/span>因为据/span>2据/span>θ据/span>1据/span>+据/span>2据/span>⋅据/span>罪据/span>θ据/span>⋅据/span>因为据/span>θ据/span>2据/span>⋅据/span>罪据/span>θ据/span>⋅据/span>因为据/span>θ据/span>⇒据/span>罪据/span>θ据/span>⋅据/span>因为据/span>θ据/span>=据/span>4.据/span>1据/span>=据/span>4.据/span>1据/span>=据/span>4.据/span>1据/span>-据/span>1据/span>=据/span>-据/span>8.据/span>3.据/span>.据/span>□据/span>
简化据/p>
2据/span>(据/span>罪据/span>6.据/span>θ据/span>+据/span>因为据/span>6.据/span>θ据/span>)据/span>-据/span>3.据/span>(据/span>罪据/span>4.据/span>θ据/span>+据/span>因为据/span>4.据/span>θ据/span>)据/span>.据/span>
此问题是集合三角函数的一部分。据/p>
如果据span class="katex">
棕褐色据/span>θ据/span>+据/span>棕褐色据/span>θ据/span>1据/span>=据/span>8.据/span>那据/span>在哪里据span class="katex">
0.据/span>据据/span>θ据/span>据据/span>2据/span>π据/span>那据/span>什么是据span class="katex">
罪据/span>θ据/span>+据/span>因为据/span>θ据/span>还是据/span>
我们有据/p>
棕褐色据/span>θ据/span>+据/span>棕褐色据/span>θ据/span>1据/span>因为据/span>θ据/span>罪据/span>θ据/span>+据/span>罪据/span>θ据/span>因为据/span>θ据/span>罪据/span>θ据/span>⋅据/span>因为据/span>θ据/span>罪据/span>2据/span>θ据/span>+据/span>因为据/span>2据/span>θ据/span>罪据/span>θ据/span>⋅据/span>因为据/span>θ据/span>1据/span>罪据/span>θ据/span>⋅据/span>因为据/span>θ据/span>=据/span>8.据/span>=据/span>8.据/span>=据/span>8.据/span>=据/span>8.据/span>=据/span>8.据/span>1据/span>.据/span>
自据span class="katex">
罪据/span>θ据/span>⋅据/span>因为据/span>θ据/span>=据/span>8.据/span>1据/span>那据/span>因此我们有据span class="katex-display">
(据/span>罪据/span>θ据/span>+据/span>因为据/span>θ据/span>)据/span>2据/span>=据/span>1据/span>+据/span>2据/span>⋅据/span>罪据/span>θ据/span>⋅据/span>因为据/span>θ据/span>=据/span>1据/span>+据/span>2据/span>×据/span>8.据/span>1据/span>=据/span>4.据/span>5.据/span>.据/span>
自据span class="katex">
θ据/span>位于中间据span class="katex">
(据/span>0.据/span>那据/span>2据/span>π据/span>)据/span>那据/span>的价值据span class="katex">
罪据/span>θ据/span>+据/span>因为据/span>θ据/span>是积极的。因此,据span class="katex-display">
罪据/span>θ据/span>+据/span>因为据/span>θ据/span>=据/span>4.据/span>5.据/span>
=据/span>2据/span>5.据/span>
.据/span>□据/span>
如果方程的两个根据span class="katex">
2据/span>X据/span>2据/span>+据/span>P.据/span>X据/span>-据/span>1据/span>=据/span>0.据/span>是据span class="katex">
罪据/span>θ据/span>和据span class="katex">
因为据/span>θ据/span>那据/span>什么是据span class="katex">
P.据/span>还是据/span>
从据一种href="//www.parkandroid.com/wiki/vietas-formula-forming-quadratics/" class="wiki_link" title="Vieta的公式" target="_blank">Vieta的公式据/a>, 我们有据span class="katex-display">
罪据/span>θ据/span>+据/span>因为据/span>θ据/span>罪据/span>θ据/span>⋅据/span>因为据/span>θ据/span>=据/span>-据/span>2据/span>P.据/span>=据/span>-据/span>2据/span>1据/span>.据/span>(据/span>1据/span>)据/span>(据/span>2据/span>)据/span>
两边平方据span class="katex">
(据/span>1据/span>)据/span>那据/span>我们有据/p>
罪据/span>2据/span>θ据/span>+据/span>2据/span>⋅据/span>罪据/span>θ据/span>⋅据/span>因为据/span>θ据/span>+据/span>因为据/span>2据/span>θ据/span>1据/span>+据/span>2据/span>⋅据/span>罪据/span>θ据/span>⋅据/span>因为据/span>θ据/span>=据/span>4.据/span>P.据/span>2据/span>=据/span>4.据/span>P.据/span>2据/span>.据/span>(据/span>3.据/span>)据/span>
替换据span class="katex">
(据/span>2据/span>)据/span>到据span class="katex">
(据/span>3.据/span>)据/span>那据/span>我们有据/p>
1据/span>+据/span>2据/span>⋅据/span>(据/span>-据/span>2据/span>1据/span>)据/span>4.据/span>P.据/span>2据/span>⇒据/span>P.据/span>=据/span>4.据/span>P.据/span>2据/span>=据/span>0.据/span>=据/span>0.据/span>.据/span>□据/span>