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Let ABC and DEF be triangles which are right angled at A and D, such that the hypotenuses BC and EF are equal and, without loss of generality, angle B = angle E.ThenThen by the sine rule, BC/sin(A) = AC/sin(B) and EF/sin(D) = DF/sin(E)Since angle A = angle D = pi/2 radians, then sin(A) = sin(D) = 1so that BC/sin(A) = BC while EF/sin(D) = EFtherefore, since the hypotenuses BC and EF are equal, the left hand sides of the two equations are equal.Therefore, AC/sin(B) = DF/sin(E)then, since angle B = angle E, then sin(B) = sin(E) so that AC = DF.Also, angle C = pi/2 - angle Band angle F = pi/2 - angle Ethe right hand sides are equal so angle C = angle F.Then in a manner similar to the above, we can show that AB = DE.Thus all three pairs of corresponding sides are equal and all three pairs of corresponding angles are equal so that the two triangles are congruent.
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
Not exactly, the angle of refraction = the angle of incidence, which means the ratio of sine of angle of incidence to the sine of angle of refraction is constant for two media. That is sin i /sin r = constant , and this constant is called refractive index
Yes. Light follows the law of signs and Sin(I)/vi = Sin(R)/vr . Because vi=vr the angles are equal. This important law in physics is often stated as follows: Angle of Reflection = Angle of Incidence
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
No. Sin of any angle is always less than or equal to 1.
Let ABC and DEF be triangles which are right angled at A and D, such that the hypotenuses BC and EF are equal and, without loss of generality, angle B = angle E.ThenThen by the sine rule, BC/sin(A) = AC/sin(B) and EF/sin(D) = DF/sin(E)Since angle A = angle D = pi/2 radians, then sin(A) = sin(D) = 1so that BC/sin(A) = BC while EF/sin(D) = EFtherefore, since the hypotenuses BC and EF are equal, the left hand sides of the two equations are equal.Therefore, AC/sin(B) = DF/sin(E)then, since angle B = angle E, then sin(B) = sin(E) so that AC = DF.Also, angle C = pi/2 - angle Band angle F = pi/2 - angle Ethe right hand sides are equal so angle C = angle F.Then in a manner similar to the above, we can show that AB = DE.Thus all three pairs of corresponding sides are equal and all three pairs of corresponding angles are equal so that the two triangles are congruent.
45 degree
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
Assuming the angle is given in radians, it is -0.9939
sin312 the terminal angle of 312 is equal to 48 degrees! That's all i know!
Not exactly, the angle of refraction = the angle of incidence, which means the ratio of sine of angle of incidence to the sine of angle of refraction is constant for two media. That is sin i /sin r = constant , and this constant is called refractive index
Yes. Light follows the law of signs and Sin(I)/vi = Sin(R)/vr . Because vi=vr the angles are equal. This important law in physics is often stated as follows: Angle of Reflection = Angle of Incidence
The angle of refraction can be calculated using Snell's Law: n1sin(theta1) = n2sin(theta2), where n1 and n2 are the refractive indices of the media, and theta1 and theta2 are the angles of incidence and refraction, respectively. Given n1 = 1.33, n2 = 1 (since in air), and theta1 = 30 degrees, we can solve for theta2 to find it is approximately 22.62 degrees.
cos70=sin20 so angle is 20, because cosA=sin(90-A)
Note that an angle should always be specified - for example, 1 - cos square x. Due to the Pythagorean formula, this can be simplified as sin square x. Note that sin square x is a shortcut of (sin x) squared.
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