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Sin in mathemtics is correctly spelled as 'SINE'.

The word 'sine' comes from Latin and means 'curve'.

To find the 'sine' of an angle, use the eq'n

Sin(Angle) = o(Opposite) / h(hypotenuse)

So for any right-angled (90 degree) triangle , the 'hypotenuse' is the side opposite to the right angle. The 'opposite' is the side opposite to the angle in question.

So for an example

Sin(30 degrees) = 1/2 = 0.5

The 'opposite' side has a ratio length of '1' compared to the ;hypotenuse' side which will have a ratio length of '2'.

Other Trigonometric functions are;-

Cos ( Cosine = Complementary Sine) = adjacent / hypotenuse

Tan = Tangent = opposite / adjacent.

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lenpollock

Lvl 16
1mo ago

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Continue Learning about Trigonometry

Find out value of sin 45 cos 45 - sin 230?

Assuming that the angles are all stated in degrees: sin(45) = cos(45) = 1/2 sqrt(2) sin(45) cos(45) = (1/2)2 x (2) = 1/2 sin(230) = - 0.7660444 sin(45) cos(45) - sin(230) = 0.5 + 0.7660444 = 1.2660444 (rounded)


When can you use the inverse of sin?

You can use the inverse of sin when you want to solve an equation where x is the angle you're trying to find. Say sin(x)=32/50 Since you can't plug "x" into your calculator, use the arc sin (represented on your calculator by sin -1) on both sides to get rid of the sin. This is how it would plug into your calculator: sin-1 (32/50) Whatever the answer is would be what "x" equals.


How do you calculate sin inverse?

Sin or Sine is the ratio of the Opposite side Over The Hypoteneuse of any right angled triangle inverse sin or inverse sine ( they mean the same thing ) uses the same ratio to find an unknown angle and can be written as sin-1 so if you know two sides ( opposite and Hypoteneuse ) then you can work out the sin...then you can either use a calculator to determine the inverse ( or angle ) or you could look up the sin in a booklet of sin values and determine the angle Example : in the triangle ABC the line ab=4 ac = 5 and the angle abc =90 we could find the sin of the angle acb sinacb= opp/hyp = 4/5 = 0.8 to find sin-1 of 0.8 calcultor press 0.8 press inv button or on newer calculators the 2nd functon button then press the button marked sin the display should then display 53.1301....or 53 to 2 sig figures


Find out value of sin 45?

The value of sin 45 degrees, or sin(π/4 radians), is √2/2. This is derived from the properties of a 45-45-90 triangle, where the lengths of the legs are equal. Therefore, sin 45° represents the ratio of the opposite side to the hypotenuse in this triangle configuration.


In a triangle ABC b equals 15 cm and c equals 25 cm and also angle B equals 32'15'Find the side a and other angles?

By the sine rule, sin(C)/c = sin(B)/b so sin(C) = 25/15*sin(32d15m) = 0.8894 so C = 62.8 deg or 117.2 deg. Therefore, A = 180 - (B+C) = 85.0 deg or 30.5 deg and then, using the sine rule again, a/sin(A) = b/sin(B) so a = sin(A)*b/sin(B) = 28 or a = 14.3