nwater * sin 30=nair *sin(angle of refraction) 1.33*0.5=1*sin(angle of refraction) sin(angle of refractiob)=0.665 angle of refraction inair=41.6 degrees nwater * sin 30=nair *sin(angle of refraction) 1.33*0.5=1*sin(angle of refraction) sin(angle of refractiob)=0.665 angle of refraction inair=41.6 degrees
Aight, always let it be etched on your mind that reference angles a.k.a. basic angles, usually symbolized by an alpha symbol, is an angle that lies in Quadrant 1 (reference angle < 90deg) and it starts in an anti/counterclockwise direction of OX. Whatever you do, make sure the reference angle is contained inside Quadrant 1. How to make it inside Quadrant 1? Well, I believe already knew - 180deg - theta (if theta falls in Q2), theta - 180deg (if theta falls in Q3), 360deg - theta (if theta falls in Q4) and you need not perform any operation if theta falls in Q1 - consider it the reference angle as it is < 90deg. On the other hand, let's say you want to find the reference angle for a negative angle, -theta, remember to omit the negative sign of the negative angle when subtracting to find the reference angle. You don't even need to put a -ive sign in front of 360deg or 180deg or any other special angles in which you're subtracting from or by. Just succinctly think it this way, to find the reference angle for a negative angle, the negative angle is mirrored or inversed to start from Q1 in a counterclockwise direction as usual. The reason to this is because if you experiment it yourself this example: sin (-390deg). [First], If you sketch a circle and make a -390deg revolution from QIV (clockwise direction), you'll notice that -390deg falls back in QIV. So, reference angle = (larger angle, i.e. 390deg) - (smaller angle, i.e. 360deg) = 30deg. Notice that I did not write -390 - (-360) because it will yield a -ive 30 instead. [Next], you wanna recall that only cos theta yields a +ive value in QIV so straightaway you know that sin (-390deg) is -ive. [Now for the intricate part,] check the answer for sin(-390deg) on your calculator. It says -0.5 true? Okay now that you know the value is -ive in QIV, include -ive sign in front of (sin 30deg); what do you get? -0.5 also correct? Okay so back to the question why you really don't want a -ive sign in front of reference angle, if you put -(sin -30deg), you'll get a +0.5 instead which is what you don't want. In a nutshell, just drop the -ive sign in front of -ive angles whenever you tryna find their reference angle. :P sorry too long i know! but helpful
The reference angle for an angle with the measure of 175 degrees is 5 degrees
type the value of sine in the calculator and press 2ND SIN for sin-1, or press 2ND SIN for sin-1 and type the value of sine, because -sin(.xxxx) = angle known as inverse sine
-- sin(x) is a number. It's the sine of the angle 'x'. -- sin-1(x) is an angle. It's the angle whose sine is the number 'x'.
Angle greater than 180 degrees are reflex angles.
The angle of reference is in the first quadrant, and 90 degrees angle is not in the quadrant.
The sine of an angle is obtained from a right angle triangle. The other two angles are acute, or less than 90 degrees. The sin of the angle is the side opposite the angle divided by the hypotenuse.
Sin I/VI = Sin Ref/VRef
Sine(Sin) Cosine(Cos) Tangent(Tan) ---- -Sin of angle A=opposite leg of angle A / hypotenuse -Cos of angle A= Adjacent leg of angle A / Hypotenuse -Tan of angle A= opposite leg of angle A / Adjacent lef of angle A
the sine rule, angle (a) and opposite length is eaqual to angle (b) and opposite length. which are also equal to angle (c) and opposite length. Sin A = Sin B = Sin C ------- -------- ---------- a -------- b -------- c
The term angle of deviation is used in reference to a prism.
Quadrantals are their own reference angle, so 90 degrees.
Sin (Incident angle )/incident speed = sin(refraction angle)/refraction speed.
sin of angle a = opposite/hypotenuse = 1/3 sin-1(1/3) = 19.47122063 degrees
sin(37) = 0.6018150232
sin z = 7/25 = 0.28
Since the angle of 331⁰ is in the fourth quadrant, then the measure of its reference angle in the first quadrant is 360⁰ - 331⁰ = 29⁰ .
360-331=2929 degrees is your reference angle. Remember your signs, though.
A main angle of refrence.
The reference line is the normal (perpendicular) to the surface.
It is a reflex angle
The Law of Sines is he relationship between the incidence angle and the reflection angle: Sin(I)/Incident velocity = Sin(R)/reflection velocity. If the incident and reflection velocity are the same, then the angles are the same.
360 - 75 = 285