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Evaluale Ihe expressionsin 2120'_ cos 2120"gin 2120 cos 2 120" (Simplify your answer; Including any radicals Use inlegers or fractons...

Question

Evaluale Ihe expressionsin 2120'_ cos 2120"gin 2120 cos 2 120" (Simplify your answer; Including any radicals Use inlegers or fractons

Evaluale Ihe expression sin 2120'_ cos 2120" gin 2120 cos 2 120" (Simplify your answer; Including any radicals Use inlegers or fractons



Answers

Simplify each expression by substituting values from the table of exact values and then simplifying the resulting expression. $$4 \sin 60^{\circ}-2 \cos 30^{\circ}$$

We need to simplify the expressions. Cost 10 degree in the Boston delivery place course minus 80 degree into sine minus 20 degree. We know that, boss. Off minus album is your cell phone on? Sign off. Minus iPhone ISS minus. Sign Eiffel. So let us use these two properties in these two domes we get lost. Damn dignity lost 20 degree less loss. 80 degree. You do minus sign 20 degree. Simplifying this. Lick it, boss. Dang diggity Lost dignity minus waas. 80 degree sign. Great dignity. Now let us write this cost 10 degree us waas 90 degree minus. We know that also 90 minus the dot is signed. Beat up. So we get sign Gaity diggity cost 20 degree minus loss. 80 degree signed 20 degree Considered the identity Sign off. I'll form my this Victor. Who? That expense too. So you know, boss, be don't minus salad for sign Vido compiled this identity to this step. We get the value of Al Qaeda 80 degree and the value of the job is to end it quickly and securing the use of Alphonse Beecher Stowe. This stone we get sane a d d d d minus 20 dignity then gives science. It's due to getting. And we know that the value of science 60 degree is you three by two against the solution.

We need to simplify the expression signed. 14 dealing into cost 35 Dig any plus costs. Putting degree to cost 55 degree US Let us play 55 degree US boss 90 D minus that describe diggity You know that loss 90 diggety minus the dollar is ST Peter applying this property to this stone we get, We get a sign 50 frame dignity No Consider the identity sign. I hopeless bigger the expense too. Sign Al Fel Force be done less san Sign Vito about this identity with this step So we see that the value of I'll price 14 tickety and value we just different degree. So let us subsitute the values of alpha and meter in this stone. So we get It's not, You know, we're being diggity less. But if I'm biggie simplifying this figure sane What a night diggity! It's the solution

It is given that the expression to my team played with course 1 20 degree plus fighter signed 1 20 degree divided by I would multiplied with course 40 degree plus I tha signed. Fortunately, now, by rationalizing it, we get with course 40 dignity minus All right, though. Sign 40 degree, divided by course, 40 degree minus either. Sign 40. Now, by simplifying it, we get one upon to multiplied with course off 1 20 plus Ida, sign off. 1 20 March Deployed with Goes off 40 minus Ida Signed 40 Do I did by Goes Scared 40 minus Ida Scared science Kids 40 number. Putting the value of fight A scare is equal to be minus one. It will reduces to, and we're simplifying it. We get one upon to my deployed with course off 1 20 but he played with course 40 minus. I desk it sign 1 20 multi blood with signed 40 bless Either sign 1 20 multiplied with because 40 minus ida cause 1 20 multiplied with signed 40 now by simplifying, divided by course scare 40 plus science. Get 40 Now by using the identity that science can t topless cost three ties equal to be one so that you nominated will reduce sister one. And I was simplifying the numerator. We get one upon to my replied with course off 1 20 minus 40 degree plus Ida. Sign off 1 20 degree minus 40 degree by using the foam love course off a minus bi and by using the phone love sign off a minus. Speak. Now it's become one upon to buy deployed with course off 80 degree plus IDA. Sign off it to dignity, so this is a required big dramatic form.

Hello, everybody In this video, I'm going to be showing you how to solve Exercise four in Chapter nine, Section one of Cohen's pre calculus seventh edition. Now, in this problem, they want us to simplify the expression sign of 100 10 degrees Times Co sign of 20 degrees minus co sign of 110 degrees times the sign of 20 degrees. That is simplified. This quantity but we want to do is recalled the second edition formula for sign which states that for two angles snt the sign of s minus T is equal to sign of times the co sign of tea minus the coastline of s times the sine of T. And with this identity, we can see that the expression we want to simplify is readily in this form, where yes is equal to 110 degrees, while T is equal to 20 degrees. And so we can use this identity in the backwards direction to say that this expression up here is equal to the sign of s 110 degrees minus the sine of T 20 degrees, and have simplifying this argument. We see that this is equal to the sign of 90 degrees, which is equal to one. And so one is our most simplified version of this quantity appear. So that's how you solve exercise for


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