![\bf sin^2(\theta)+cos^2(\theta)=1\implies sin^2(\theta)=1-cos^2(\theta)\\\\ -------------------------------\\\\ -5sin(x)=-2cos^2(x)+4\implies -5sin(x)=-2[1-sin^2(x)]+4 \\\\\\ -5sin(x)=-2+2sin^2(x)+4\implies -5sin(x)=2sin^2(x)+2 \\\\\\ 0=2sin^2(x)+5sin(x)+2\implies [2sin(x)+1][sin(x)+2]=0\\\\ -------------------------------\\\\ sin(x)+2=0\implies sin(x)=-2\impliedby \begin{array}{llll} \textit{sine function is never}\\ \textit{more or less than }\pm 1\\ \textit{so, no dice on that one} \end{array}](/tpl/images/0294/6401/c83b6.png)
![\bf 2sin(x)+1=0\implies 2sin(x)=-1\implies sin(x)=-\cfrac{1}{2} \\\\\\ sin^{-1}[sin(x)]=sin\left( -\frac{1}{2} \right)\implies \measuredangle x=sin\left( -\frac{1}{2} \right)\implies \measuredangle x= \begin{cases} \frac{7\pi }{6}\\\\ \frac{11\pi }{6} \end{cases}](/tpl/images/0294/6401/1958c.png)
![\bf \ [cos(\theta )]^n\implies cos^n(\theta ) \\\\\\ \ [sin(\theta )]^n\implies sin^n(\theta ) \\\\\\ \ [tan(\theta )]^n\implies tan^n(\theta ) \\\\\\ so \qquad cos^2(x)\implies [cos(x)]^2](/tpl/images/0294/6401/88246.png)
find all solutions for the interval [0, 2pi)
-5sinx=-2cos^2x+4
(note: the cosine is squ...
Mathematics, 06.10.2019 19:00 kaylaw332
find all solutions for the interval [0, 2pi)
-5sinx=-2cos^2x+4
(note: the cosine is squared, but the x is not)
Answers: 2
Another question on Mathematics
Mathematics, 21.06.2019 18:00
What are the coordinates of the midpoint of ab? ,1/2) /2,-1) ,-3/2) /2,-2)
Answers: 1
Mathematics, 21.06.2019 19:00
After t seconds, a ball tossed in the air from the ground level reaches a height of h feet given by the equation h = 144t-16t^2. after how many seconds will the ball hit the ground before rebounding?
Answers: 2
Mathematics, 21.06.2019 20:30
The graph of a hyperbola is shown. what are the coordinates of a vertex of the hyperbola? (0, −4) (−3, 0) (0, 0) (0, 5)
Answers: 1
You know the right answer?
Questions
Chemistry, 14.07.2019 02:30
Spanish, 14.07.2019 02:30
Physics, 14.07.2019 02:30
Mathematics, 14.07.2019 02:30
