Tan (Ф/2)=⁺₋√[(1-cosФ)/(1+cosФ)]
if π<Ф<3π/2;
then, Where is Ф/2??
π/2<Ф/2<3π/4; therefore Ф/2 is in the second quadrant; then tan (Ф/2) will have a negative value.
tan(Ф/2)=-√[(1-cosФ)/(1+cosФ)]
Now, we have to find the value of cos Ф.
tan (Ф)=4/3
1+tan²Ф=sec²Ф
1+(4/3)²=sec²Ф
sec²Ф=1+16/9
sec²Ф=(9+16)/9
sec²Ф=25/9
sec Ф=-√(25/9) (sec²Ф will have a negative value, because Ф is in the sec Ф=-5/3 third quadrant).
cos Ф=1/sec Ф
cos Ф=1/(-5/3)
cos Ф=-3/5
Therefore:
tan(Ф/2)=-√[(1-cosФ)/(1+cosФ)]
tan(Ф/2)=-√[(1+3/5)/(1-3/5)]
tan(Ф/2)=-√[(8/5)/(2/5)]
tan(Ф/2)=-√4
tan(Ф/2)=-2
Answer: tan (Ф/2)=-2; when tan (Ф)=4/3
Betty's height versus Jinlan's height is 2:3
According to research, the public views children and teens with mental health disorders as over 1,300 U.S. adults believe children with depression are prone to violence
Answer: Option B
<u>Explanation:</u>
Most Americans trust that the people count has increased with mental health disorders in the last 20 years (69 %) and that is a major health issue in the US (89 %) according to the results of survey. They believe that mental health disorders are caused by physical disorders (like brain’s chemical imbalance or due to environmental criteria (daily stress or alcoholism / abuse of drugs).
Over nine out of ten respondents cited those factors as typical causes for mental health disorders. When asked about the most common causes of this, nearly 27 % reported chemical brain imbalances and stress in their daily lives, and 20 % reported alcohol or drug abuse.
Answer:
D
Step-by-step explanation:
its the right answer bc its proportional