How do I find the angle measure from sin(theta)=1/2? Reddit basic trig r/trigonometry
How do we find the angle measure when sin(theta)=1/2 when theta is between 0 to 90 degrees? How about 0 to pi/2 radians? The key here is to use the 30-60-90 special right triangle. More on the reference triangle method: • The reference triangle...
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This question is from Reddit r/trigonometry: / 7xrejlezzc
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Пікірлер: 35
I miss when times were this easy...
Was questioning my limited knowledge for a moment when he said adjacent 😂
To remember deg to rad conversion you only need to remember that π is equal to 180° so 180°= π 1°= π/(180) Now to get your degree in rad just multiply both sides with it
When converting from degrees to radians, perhaps worth mentioning is that multiplying by pi over 180 does not change the value of the angle because it’s just multiplying by 1. (because pi radians = 180 degrees).
@afre3398
2 ай бұрын
180°= π 1°= π/(180) Now to get your degree in rad just multiply both sides with it
@richardgratton7557
2 ай бұрын
@@afre3398 thanks. I knew that. I was just pointing out that BPRP didn’t explicitly say that. Perhaps some viewers were wondering where that came from.
30 degree and pi/6 easy
@user-tt9uy5gg9o
2 ай бұрын
NOT! You have that memorized. The truth is that to derive that you have to start with the triangle. To do that you have to have seen the triangle first.
@LaMirah
2 ай бұрын
Exactly! Try changing that sin(θ)=½ to sin(θ)=⅓ or sin(θ)=¼ and you'll see that's only easy if you already know the few special angles you have memorized.
@fadisaadi9381
2 ай бұрын
pfft just draw a circle draw the line where the sin is and look at the angle easy @@LaMirah
@LaMirah
2 ай бұрын
@@fadisaadi9381 how does that go again? Draw some circle, then another line somewhere, and the angle value for arcsin(⅓) will pop out magically? I see.
@fadisaadi9381
2 ай бұрын
@@LaMirah draw a circle with 2 axis the y for sin and x for cos then take any sin and project it on the arc then draw a line to the center and you'll get the angle
the only time where having your trig value table memorized is useful
@RebornKaotic
2 ай бұрын
not at all
@Brid727
2 ай бұрын
@@RebornKaotic nahhhhhh idk what you on abt man we over here memorizing our trig table values🤯
@RebornKaotic
2 ай бұрын
@@Brid727 yeah cause you need it for calculus 🤓 you said this is the only time its useful so naw
@Brid727
2 ай бұрын
@@RebornKaotic 🤯
@fadisaadi9381
2 ай бұрын
you don't need to memorize it just draw a circle and the angle and you'll see what it is
It is just memorized. In the angle is 30 degrees, then in the unit circle the vertical distance is 1/2....so you go backwards 1/2 goes to 30 degrees. To radians multiply 30 by pi and divide by 180...reduce pi over 6.
If you know the lengths of the sides of a triangle you can find the angles using the law of cosines
1/2 should be recognized as a special case from geometry onward and is an easy solution. Why not be able to solve for any theta by taking the arc sin of both sides?
@Asch_Ente
2 ай бұрын
he said no calculator in the solution but I didn't see it in the reddit post, rpbp just took the post as a good opportunity to explain the special triangles I guess
Indian students have to just memorize these values...
How about when sinθ=(√5-1)/4 or when sinθ=(√5+1)/4? In modern days any kid worth their salt will have these memorized. 🙃
@DotRabbit
2 ай бұрын
18degree for (√5-1)/4
@savitatawade2403
2 ай бұрын
😮@@DotRabbit
asnwer=50 isit
I'm sorry but RPBP does not get any points for this solution. I too had the answer memorized since high school, but I cannot derive it from first principles using the unit circle. I clicked on the video because I wanted to see it derived from a circle with radius 1.
@savitatawade2403
2 ай бұрын
bruh🎉
@joshstat8114
2 ай бұрын
What do you really want to achieve then?
@robertpearce8394
2 ай бұрын
You derive it from an equilateral triangle.
@ZipplyZane
2 ай бұрын
I mean, it's really just the same thing. The difference is that you would make the height 1/2 and the hypotenuse 1. But then you realize that the hypotenuse is twice as long as the height, and thus you have a 30-60-90 triangle. There's not much gained in using a unit circle rather than using a hypotenuse/radius of 2.
@genehenson8851
2 ай бұрын
Bro…
I have no useful comment.