Find one solution for each equation. Assume all angles involved a...

Question

Find one solution for each equation. Assume all angles involved are acute angles.cos(3θ + 11°) = sin( 7θ  + 40°)        5                      10

Accepted Answer

Determine one solution for the following trigonometric equation considering only acute angles for the trigonometric function where we have cosine two data divided by seven plus 22 degrees. Equal sine five data divided by three plus 27 degrees. And we have four possible answers being 34 27 43 and 21. All in the roots. Now, to solve this, we can make use of the co function identities which tell us that sign data as equals to cosine of 90 minus data. Now I can kind of rework this a little bit but we can see that our thetas will add together to equal 90 degrees. In other words, if we add the part that's in the sign and the part that's in the cosine together, we should get 90 degrees, we can then say two data divided by seven plus plus five. Data divided by three plus 27 should equal degrees. Now, we can subtract 22 from both sides and 27 from both sides. You get two theta divided by seven plus five days divided by three as equals to 41. No, we need to solve for data can first multiply our first fraction by three divided by three. This will give us the same denominator. If we multiply our other fraction by seven divided by seven, we also have to multiply the right side. Since we're multiplying the left side, we will multiply that side by 21. We should get on the left side here. Six data divided by plus 35 data divided by 21 equals 861 divided by 21. Now, we can simplify, we get 41 data divided by 21 equals 61 divided by 21 because we have denominator of 21 on both sides. Those go away giving us 41 data equals 61. Finally divide both sides by 41. We get theta is equals to 21 degrees. This means the answer to our problem turns out to be answer D OK. I hope to help you solve the problem. Thank you for watching. Goodbye.

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Find one solution for each equation. Assume all angles involved are acute angles.cos(3θ + 11°) = sin( 7θ + 40°) 5 10

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