I knew sin(45) was 1/root 2, but on all the other videos and pictures that i've seen, it says that its root 2/ 2. Why is this? Which value is the correct one?
They are the same value. Check on a calculator if you want. A fraction is equal if we multiply the top and bottom by the same number. If we multiply 1/root 2 by root 2 on the numerator and denominator we end up with root 2/2 hence they are the same.
√2/2 is the rationalised surd - better to remember. The values for sin go 0, 1/2 (which is √1/2), √2/2, then √3/2, then 1 (which is √4/2) - see the pattern?
Pythagoras theorem says a^2 + b^2 = h^2 where h is the longest side (side opposite to right angle) and a and b are the other two sides of a right angle triangle. Let a = x, b = 1, and h = 2. So you get x^2 + 1^2 = 2^2. 1^2 = 1 and 2^2 = 4. So you get x^2 + 1 = 4. - 1 from both sides of the equation. This is because there is a "+ 1" next to the x^2 and we're trying to get x on it's own so we do the inverse of + 1 which is - 1. So you get x^2 = 3. Square root both sides of the equation. This is because x^2 means the x is squared and we're trying to get x on it's own so we do the inverse of squaring which is square rooting. So you get x = √3. I hope this helps. I'm not very good with words. Even if it's too late to help you, I hope it helps someone.
OMG ..😱 .. I'm freakin' for the way u spoke English... I'm gonna die ... Actually I'm not good in English.... So.. I haven't understand what u spoke 😅...
Can u please do a video on sin cos and tan graphs and the transformations of them.
Rifa Iqbal yeah I will try to get that done
Thanks hopefully this will help me get a decent grade on my test
Why didn't you explain cos90 or sin90? I can't find anywhere on the internet that explains how sin 90 is 1 and I'm so confused
he showed sin90 is 1 by using the graphs at the beginning
@@user-bv6gs4qw9k i would have loved to see the diagram, especially for cos 90... but sure
@@user-kw8go6ok5gtake a look at the unit circle (i know this is 5 years ago, but someone else may wonder the same thing)
I knew sin(45) was 1/root 2, but on all the other videos and pictures that i've seen, it says that its root 2/ 2.
Why is this? Which value is the correct one?
Rebecca John that is the rationalised version of 1/root2
They are the same value. Check on a calculator if you want. A fraction is equal if we multiply the top and bottom by the same number. If we multiply 1/root 2 by root 2 on the numerator and denominator we end up with root 2/2 hence they are the same.
√2/2 is the rationalised surd - better to remember. The values for sin go 0, 1/2 (which is √1/2), √2/2, then √3/2, then 1 (which is √4/2) - see the pattern?
thanks for that
i hate when you magically work things out without saying how you got there... from 3:23 to 3:35???????????????
Pythagoras theorem says
a^2 + b^2 = h^2
where h is the longest side (side opposite to right angle) and a and b are the other two sides of a right angle triangle.
Let a = x, b = 1, and h = 2.
So you get x^2 + 1^2 = 2^2.
1^2 = 1 and 2^2 = 4.
So you get x^2 + 1 = 4.
- 1 from both sides of the equation.
This is because there is a "+ 1" next to the x^2 and we're trying to get x on it's own so we do the inverse of + 1 which is - 1.
So you get x^2 = 3.
Square root both sides of the equation.
This is because x^2 means the x is squared and we're trying to get x on it's own so we do the inverse of squaring which is square rooting.
So you get x = √3.
I hope this helps. I'm not very good with words. Even if it's too late to help you, I hope it helps someone.
Thats pythagoras... does he have to explain it? If you’re watching a video on exact trig values you should’ve been taught pythagoras by now
Charlotte...cos of 90 = 0 and sin of 90 = 1...remember the Beatles...1,2,3,4 can I have...
OMG ..😱 .. I'm freakin' for the way u spoke English... I'm gonna die ... Actually I'm not good in English.... So.. I haven't understand what u spoke 😅...
THANKSSSSSSSSSSSSSSSSSS
What u dont lead for children without gradt we do xxx