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QUESTION 16Solve the equation on the interval 0 $ 0 < 2x.sin 2 0 + sin 0 = 0 31 00- I, 221 Co- I, 3 3 00 I. 3. 3 001,4 S1 3 5...

Question

QUESTION 16Solve the equation on the interval 0 $ 0 < 2x.sin 2 0 + sin 0 = 0 31 00- I, 221 Co- I, 3 3 00 I. 3. 3 001,4 S1 3 5

QUESTION 16 Solve the equation on the interval 0 $ 0 < 2x. sin 2 0 + sin 0 = 0 31 00- I, 2 21 Co- I, 3 3 00 I. 3. 3 001,4 S1 3 5



Answers

Find all solutions on the interval $[0,2 \pi)$. $$ 2 \sin ^{2} w+3 \sin w+1=0 $$

According to question. Who? Thank you. Picks minus off, Science predicts, minus off. Who's Hynix? Let's one equals zero. Where Exploding scissor to fight. So from here way, we're going to make sense for X common from 2 72 weeks minus Sign spirits Upon taking Saints, critics common really gave Hussein X minus one and again from minus 2000. Experts one we're going to take minus one come so this would become minus one. Who's Hynix minus one equals zero Upon Fortis, Simplification will get science critics minus off one. Multiplied Bay who's signing minus one equals zero. So science critics minus 1 10 because you sign X minus one tiny, minus one. Glad way, Scientifics. Just one. And from here we will get Who's Hynix minus one equals zero. Include all you're getting. Three different values are fixed and their signings equals one. When sine X minus one equals zero. Oh, Sinus equals sign of lexical minus off one. When signing plus one equals zero or Hussein X minus one nickel Video signings equals one point. Who in Sinus equals one, Then the value of X 12 equals fire when sine X equals minus one and equal your picks will be called sweet by upon food. And when sine X equals 1.2, then XlV equals by upon six when it is first quarter. And it was because X equals five minus fire. Khan six. That is how I pray upon six when it is in the second quarter, saying Total, we're getting four different values off X, which satisfies the question on their X equals 5.6 fire corn do street by upon who and finally fight prey upon six so this will be the final answer.

Given Sign Acts equals one half. We're going to use the unit circle to help us see where that is true. So sign X is in our Y position, so we want that second value to be one half, Sin X is one half. We find that at 30 degrees, we get that one half in the second value And 150°.. There's one half in that second value, so sign axes 1/2 at 30 degrees And 150°..

According to question. Poor sign square eggs minus three equals zero. Craddick's belong zero to fight, and we will find a fellow off X, which satisfies the given in question Now. Four. Science Codex that wilderness to signings most great and we can write three as rude or a C we'll square is equal zero. Now this transforms to become a place where, minus the script. Now we know that it's where minors off the square can record a return as a minus bi multiplied by a plus B right here. Also, we're going to write who signed echoes for minus three. Host Suarez, Who's Hynix? Leslie T. My replied by Who's Hynix? Minus off three equals zero. So this upon for the simplification, we will get who values r sine X. That is when you sign expressive threequel zero. Then signings will become minus off Route three upon to on when to sign X minus two equals zero. Then we will get novella off. Signings has Route three upon Now in signings equals minus off the tree upon who then exit waas four Fi upon three on a fight by upon three and when Sinus equals Route three upon too many value effects will be equals. 583 on vibrate three. So in total were getting four wells off picks on there by upon three who high upon three for fire upon three. And finally, we're getting five for your country, so this will be the final answer.

We can rewrite this. You're quitting us crying square reacts times. Stars of Science has one miners. Twice of science plus one echo zero role. And now there is a common factor. We can rewrite it as sine squared X -1 Times twice of Sanya X-plus one echo zero. So either of these two factors must be there. So if Sine squared expires y equals zero sign at Zico's one or Signac Sickles -1 Hands. Eric Sickles. Hi over to Australia pyro virtue If twice of syntax plus one equals 0 selling out vehicles miners have and access cycles. Hi over six. Sorry. Mexico seven Pi over six for 11 Pi over six. And hence there are four solutions. Hi over to scrape high over to 7th. I over six And 11 pi over six.


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