My freind once she said -cos45= -1/ root 2 what is the next answer she gave us i have'nt understand bro she tells us the last answer is -root 2 by 2 then how teach me please
Thank you so much. I usually don't comment on Math videos because they can be quite confusing but this one was great. I understood the method since in the first example. I was able to find cos135 on myself without needing to watch the video.
Roxanne Marchuk The related acute angle is always made with the x-axis. If you did 270 - 240, you would get the angle made with reference to the y-axis.
Aldrin Inbaraj well, I haven’t done an example for every possible scenario. The hope is that one can apply these concepts to an angle provided in the other quadrants using a similar procedure. Good luck!
If the reference angle isn’t a special angle, you won’t be asked for the exact value since it cannot be found. You can just evaluate the value by using the function on a calculator and get an approximate decimal. Or you could use a trig table.
What about a difference of angle measures of a trig function like cos(45-30)? I know you subtract and get 15 so how do you find the exact measure of 15 degrees?
I would not subtract because 15 deg is not a special angle. Use the trig difference formula to break it up since 45 deg and 30 deg are both special angles, then find each separately, and then evaluate. cos(45 - 30) = cos45cos30 + sin45sin30
These are called special triangles and they can be found within the unit circle or by constructing an isosceles triangle and half an equilateral triangle.
Angles larger than 90 degrees have related acute angles that reference the x-axis. Their value is the same as the value of the trig ratio in reference to the x-axis. It all comes down to the right triangle that the arm of the angle makes with the x-axis.
OMG THANK YOU I'VE FINALLY UNDERSTOOD. MY MATH TEACHER CANT EVEN TEACH. IM LEGIT IN TEARS ;) THANK YOU
My freind once she said -cos45= -1/ root 2 what is the next answer she gave us i have'nt understand bro she tells us the last answer is -root 2 by 2 then how teach me please
@@suldanxaad7759 both answers are right. You just didn't rationalise the denominator. Hoped this helped :)
Sometimes I cry too when someone finally explains something in a way that makes complete sense.
@@jaredolson7543 Me too!
OH MY GOD YOU ARE A LIFESAVER, LITERALLY CRYING MY EYEBALLS OUT FROM BOTH FRUSTRATION AND JOY
Happy it helped 😊
Thank you so much. I usually don't comment on Math videos because they can be quite confusing but this one was great. I understood the method since in the first example. I was able to find cos135 on myself without needing to watch the video.
Serena Pink I’m happy the video helped you 😊
THANK YOU SO MUCH! such a clear explanation
Big bright red apple for Mrs. A! Thank you for an awesome explanation!
this helped me for my online school project, ty
Bruh, love that pfp
THIS WAS SO HELPFUL!
how do you know the value of hypotenuse and adjacent are 2 and 1?
Try watching a video or two on 'special angles' and tricks.
Very good tutorial, everything is simplified and well explained.
Thanks so much. Please share and subscribe 😊
Thank you so much. I'm going to pass my next test for sure now :)
BEAUTIFUL!!!!!!😭😭 You're a hero
hero not woman or super girl
Thank you. Your explanation is clear
My teacher just told me to memorize a sheet of every single one instead of teach us how to solve it. I thank you so much
osm trick
HOW DID YOU GET THE TRIANGLE?!
RJ Henson the triangles are known ratios that we use as references. You could accomplish the same thing using the unit circle.
How do you do exact values that are 360? How do you know which quadrant its going to be in?
basically, you do angle - 360 and do it that way. you just find the reference angle.
Thank ❤️ 🙏
THANK YOU SO MUCH
Why do you subtract 180 from 240 in problem a, instead of subtracting 240 from 270?
Roxanne Marchuk The related acute angle is always made with the x-axis. If you did 270 - 240, you would get the angle made with reference to the y-axis.
@@MrsALovesMath ys this prbl m sme with me bt now thats solve thnkss teacher
This video was really helpful , thank u .
Tq so much dear😍😥it really helped
How did you get square root of 3 as the hypotenuse in the first triangle?
Mohtasim Billah it is not the hypotenuse. It’s the leg of a right triangle. It comes from the special triangles
@@MrsALovesMath thank you. Got it.
How would you find the exact values of the trig ratios if the new angle isn't one of the special triangles?
Thx for the video, what's the name of this method though?
What if we din't get a defined angle??
thanks ms.A i love how you teach , and i love you for helping me understand :)
2nd and 3rd quadrants ... splendid explanation...but wht about 1st and 4th quadrants...?
Aldrin Inbaraj well, I haven’t done an example for every possible scenario. The hope is that one can apply these concepts to an angle provided in the other quadrants using a similar procedure. Good luck!
Examples for quadrant 4?
When you're finding the value of sine 240 degrees, how do you know which angle is alpha in the third quadrant?
We usually use alpha for the related acute angle (the angle made with the closest x-axis)
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My question is what do you do if the reference angle isn't one of the angles of the special triangle
If the reference angle isn’t a special angle, you won’t be asked for the exact value since it cannot be found. You can just evaluate the value by using the function on a calculator and get an approximate decimal. Or you could use a trig table.
What about a difference of angle measures of a trig function like cos(45-30)? I know you subtract and get 15 so how do you find the exact measure of 15 degrees?
I would not subtract because 15 deg is not a special angle. Use the trig difference formula to break it up since 45 deg and 30 deg are both special angles, then find each separately, and then evaluate.
cos(45 - 30) = cos45cos30 + sin45sin30
wow you are great teacher.. n also i liked your handwriting very much 😁😁
How would I solve sin(55.3degrees) without calculator?
And how 2 solve of 29°
How do you find sin 47 degrees?
thank u very much
How do you know which angle is alpha?
We usually name the related acute angle as alpha
where did you get the values of the side of triangle of 60 degree and 45 degree....i can't understand 😧
These are called special triangles and they can be found within the unit circle or by constructing an isosceles triangle and half an equilateral triangle.
Right , I need to know
Medam sin and cosece ki negitive values vundavu kadha
Thank you :)
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How to find cos 165
How would you do it if it was sin405°?
After 360 we will do it same by using rewat of angle from anti clock wise sense
How the value of obtuse angle equal to the value of the reference angle
Angles larger than 90 degrees have related acute angles that reference the x-axis. Their value is the same as the value of the trig ratio in reference to the x-axis. It all comes down to the right triangle that the arm of the angle makes with the x-axis.
But how to find the angles in terms of π🤔
This video is in degrees. Please refer to my videos on radians: th-cam.com/video/dVVTXQnnKic/w-d-xo.html
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It would be so much easier to memorize the unit circle. cos is x coordinate sin is y coordinate. simple. this just confused me.
Cos135=cos(180-45)=-cos45
This wasn't clear to me at all.