Mathematics: Sin (3 theta) = -1 what is the solution set

Sin (3 theta) = -1 what is the solution set - id312973980, montgomerykarloxc24x

Ответ:

kayleahrayne

05.01.2022

$\sin(3\theta)=-1\\\\subtitute\ 3\theta=\alpha\\\\therefore\\\\\sin(3\theta)=\sin\alpha=-1\iff\alpha=270^o+360^o\cdot k\ or\ equivalent\ \alpha=\frac{3}{2}\pi+2k\pi$

$3\theta=270^o+360^o\cdot k\ \ \ \ |divide\ both\ sides\ by\ 3\\\\\boxed{\theta=90^o+120^o\cdot k}\\\\equivalent\\\\3\theta=\frac{3}{2}\pi+2k\pi\ \ \ \ |divid\ both\ sides\ by\ 3\\\\\boxed{\theta=\frac{1}{2}\pi+\frac{2}{3}k\pi}$

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Ответ:

bri9263

09.12.2021

Mathematics

x = -3 + 4√5 or x = -3 - 4√5

Step-by-step explanation:

Hi, I'm going to assume this needs to be solved with the quadratic formula. Please LMK if otherwise. You can use mathpapa.com for help on these sort of questions, or symbolab.

a = 1, b = 6, c = -71

x^2 + 6x + -71 = 0

x= −b±√b2−4ac

Plug in the numbers..

x = −(6)±√(6)^2 −4(1)(−71)

2(1)

Simplify..

x = −6±√320

Your answer would be

x = -3 + 4√5

or x = -3 - 4√5

Please let me know if you need it solved in a different way. :)

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Sin (3 theta) = -1 what is the solution set

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