Answers: 2
![\bf \textit{Pythagorean Identities} \\\\ sin^2(\theta)+cos^2(\theta)=1\implies cos^2(\theta)=1-sin^2(\theta) \\\\[-0.35em] \rule{34em}{0.25pt}\\\\ sin^2(x)=3cos^2(x)\implies sin^2(x)=3[1-sin^2(x)] \implies sin^2(x)=3-3sin^2(x) \\\\\\ sin^2(x)+3sin^2(x)=3\implies 4sin^2(x)=3\implies sin^2(x)=\cfrac{3}{4}](/tpl/images/0029/6031/2b045.png)
![\bf sin(x)=\pm\sqrt{\cfrac{3}{4}}\implies sin(x)=\pm\cfrac{\sqrt{3}}{\sqrt{4}}\implies sin(x)=\pm\cfrac{\sqrt{3}}{2} \\\\\\ sin^{-1}[sin(x)]=sin^{-1}\left( \pm\cfrac{\sqrt{3}}{2} \right)\implies x= \begin{cases} \frac{\pi }{3}\\\\ \frac{2\pi }{3}\\\\ \frac{4\pi }{3}\\\\ \frac{5\pi }{3} \end{cases}](/tpl/images/0029/6031/f1b65.png)
Other questions on the subject: Mathematics
Mathematics, 21.06.2019 19:00, ahrensy8444
Lucy and donavan measured the length of the school garden. lucys measurement is 11.3m and donavans measurement is 113 cm. could both be correct? explain
Answers: 1
Mathematics, 21.06.2019 19:30, ndurairajownkpq
The cone in the diagram has the same height and base area as the prism. what is the ratio of the volume of the cone to the volume of the prism? h hl base area-b base area =b volume of cone_1 volume of prism 2 volume of cone 1 volume of prism 3 volume of cone 2 volume of prism 3 oc. od. volume of cone volume of prism e. volume of cone volume of prism 3 2
Answers: 3
Mathematics, 21.06.2019 20:30, kingdesto3481
The function v(r)=4/3pir^3 can be used to find the volume of air inside a basketball given its radius. what does v(r) represent
Answers: 1
Do you know the correct answer?
Solve the equation sin^2 x=3 cos ^2 x...
Questions in other subjects:
Health, 29.01.2021 22:30
Mathematics, 29.01.2021 22:30
Business, 29.01.2021 22:30
English, 29.01.2021 22:30
