Find <span>tan<span>(<span><span>5π</span>12</span>)</span></span> and sin ((5pi)/12)
Answer: <span>±<span>(2±<span>√3</span>)</span>and±<span><span>√<span>2+<span>√3</span></span></span>2</span></span>
Explanation:
Call tan ((5pi/12) = t.
Use trig identity: <span><span>tan2</span>a=<span><span>2<span>tana</span></span><span>1−<span><span>tan2</span>a</span></span></span></span>
<span><span>tan<span>(<span><span>10π</span>12</span>)</span></span>=<span>tan<span>(<span><span>5π</span>6</span>)</span></span>=−<span>1<span>√3</span></span>=<span><span>2t</span><span>1−<span>t2</span></span></span></span>
<span><span>t2</span>−2<span>√3</span>t−1=0</span>
<span>D=<span>d2</span>=<span>b2</span>−4ac=12+4=16</span>--> <span>d=±4</span>
<span>t=<span>tan<span>(<span><span>5π</span>12</span>)</span></span>=<span><span>2<span>√3</span></span>2</span>±<span>42</span>=2±<span>√3</span></span>
Call <span><span>sin<span>(<span><span>5π</span>12</span>)</span></span>=<span>siny</span></span>
Use trig identity: <span><span>cos2</span>a=1−2<span><span>sin2</span>a</span></span>
<span><span>cos<span>(<span><span>10π</span>12</span>)</span></span>=<span>cos<span>(<span><span>5π</span>6</span>)</span></span>=<span><span>−<span>√3</span></span>2</span>=1−2<span><span>sin2</span>y</span></span>
<span><span><span>sin2</span>y</span>=<span><span>2+<span>√3</span></span>4</span></span>
<span><span>siny</span>=<span>sin<span>(<span><span>5π</span>12</span>)</span></span>=±<span><span><span>√<span>2+<span>√3</span></span></span>2</span></span></span>
Answer:
a)what was concluded is spurious
b) what was concluded could betrue
Step-by-step explanation:
a) Considering the number in Michigan, there is higher number of crimes but considering the population in Minnesota, the population is much less than Michigan, considering the crime the crimes per capital with the population size, Therefore Minnesota could have more crimes than Michigan's so, The conclusion is not true.
b)There is reduction of crimes from 1991 to 2001, so it can be assumed that the population has increased over the times, therefore, the per capita number of crimes decreased.
Answer:
13
Step-by-step explanation:
See attachment
Answer:
Category Relative Frequency
male survivors 17.3%
males who died 63.7 %
Female survivors 15.1 %
Females who died 3.8%
Step-by-step explanation:
- The relative frequency is the proportion of the number of times the event occurs to the total number of trials.
Given : Total people on ship = 2274
Number of male survivors = 394
⇒ Relative Frequency of male survivors =
In percent , 
Number of males who died =1449
⇒ Relative Frequency of male who died =
In percent , 
Number of female survivors =344
⇒ Relative Frequency of female survivors =
In percent , 
Number of females who died = 87
⇒ Relative Frequency of females who died =
In percent , 
Hence, the complete table would be :
Category Relative Frequency
male survivors 17.3%
males who died 63.7 %
Female survivors 15.1 %
Females who died 3.8%
