Mathematics, 13.12.2019 13:31 jessicawolfking
Find all solutions in the interval [0, 2Ο). tan x + sec x = 1
Answers: 1
![\bf tan(x)+sec(x)=1\implies \cfrac{sin(x)}{cos(x)}+\cfrac{1}{cos(x)}=1\implies \cfrac{sin(x)+1}{cos(x)}=1 \\\\\\ sin(x)+1=cos(x)\implies sin(x)+1=\boxed{\sqrt{1-sin^2(x)}} \\\\\\\ [sin(x)+1]^2=[\sqrt{1-sin^2(x)}]^2 \\\\\\ sin^2(x)+2sin(x)+1^2=1-sin^2(x) \\\\\\ 2sin^2(x)+2sin(x)=0\implies 2sin(x)[sin(x)+1]=0 \\\\\\ \begin{cases} 2sin(x)=0\\ \qquad sin(x)=0\\ \qquad \measuredangle x=0~,~\pi \\ sin(x)+1=0\\ \qquad sin(x)=-1\\ \qquad \measuredangle x=\frac{3\pi }{2} \end{cases}](/tpl/images/0417/0751/4c40e.png)
Another question on Mathematics
Mathematics, 21.06.2019 13:30
What are correct trigonometric ratios that could be used to determine the length of ln
Answers: 3
Mathematics, 21.06.2019 14:30
Because of your favorite lemonade it is $3.84 for 3 gallons. write this as an unit rate
Answers: 2
Mathematics, 21.06.2019 20:30
List x1, x2, x3, x4 where xi is the left endpoint of the four equal intervals used to estimate the area under the curve of f(x) between x = 4 and x = 6. a 4, 4.5, 5, 5.5 b 4.5, 5, 5.5, 6 c 4.25, 4.75, 5.25, 5.75 d 4, 4.2, 5.4, 6
Answers: 1
Mathematics, 21.06.2019 22:00
Luke started a weight-loss program. the first week, he lost x pounds. the second week, he lost pounds less than times the pounds he lost the first week. the third week, he lost 1 pound more than of the pounds he lost the first week. liam started a weight-loss program when luke did. the first week, he lost 1 pound less than times the pounds luke lost the first week. the second week, he lost 4 pounds less than times the pounds luke lost the first week. the third week, he lost pound more than times the pounds luke lost the first week.
Answers: 2
You know the right answer?
Find all solutions in the interval [0, 2Ο). tan x + sec x = 1...
Questions
Spanish, 13.11.2020 21:30
Mathematics, 13.11.2020 21:30
Business, 13.11.2020 21:30
Mathematics, 13.11.2020 21:30
Mathematics, 13.11.2020 21:30
SAT, 13.11.2020 21:30
Mathematics, 13.11.2020 21:30
Mathematics, 13.11.2020 21:30
History, 13.11.2020 21:30
Mathematics, 13.11.2020 21:30
Mathematics, 13.11.2020 21:30
Mathematics, 13.11.2020 21:30
