![1-2\sin^2x=\sin x\\\\\text{substitute}\ t=\sin x,\ t\in[-1,\ 1]\\\\1-2t^2=t\qquad\text{subtract t from both sides}\\\\-2t^2-t+1=0\qquad\text{change the signs}\\\\2t^2+t-1=0\\\\2t^2+2t-t-1=0\\\\2t(t+1)-1(t+1)=0\\\\(t+1)(2t-1)=0\iff t+1=0\ \vee\ 2t-1=0\\\\t+1=0\qquad\text{subtract 1 from both sides}\\\boxed{t=-1}\\\\2t-1=0\qquad\text{add 1 to both sides}\\2t=1\qquad\text{divide both sides by 2}\\\boxed{t=\dfrac{1}{2}}](/tpl/images/0494/8583/67f9f.png)
What is 1-2sin^2x=sinx
show steps and find all solutions in interval [0,2pi)...
Mathematics, 03.02.2020 02:45 jdd0518
What is 1-2sin^2x=sinx
show steps and find all solutions in interval [0,2pi)
Answers: 1
Other questions on the subject: Mathematics
Mathematics, 21.06.2019 18:30, rachel2735
Can someone check if i did this right since i really want to make sure it’s correct. if you do you so much
Answers: 1
Mathematics, 21.06.2019 23:00, dianereyes7475
The angles in a triangle are represented by 5x, 8x, and 2x+9. what is the value of ? a.10.8 b.11.4 c.9.7 d.7.2
Answers: 2
You know the right answer?
Questions in other subjects:
Mathematics, 12.06.2020 07:57
History, 12.06.2020 07:57
Mathematics, 12.06.2020 07:57
Geography, 12.06.2020 07:57
