mostly it comes from memorization. If sin 30 = 1/2, then arcsin (1/2) = 30
Cosine(30) = sqrt(3)/2
It depends on what information you already have. For example, if you know the length of two sides of a triangle, you can easily find the tangent. Or, if you know the length of two angles and a side, you can find the other sides as well, using the tangent, cosine, and sine as needed.
To determine the value of ( x ), you would typically need additional information such as the lengths of the tangent segments, angles, or equations related to the circle. If you provide the specific details or a diagram related to the problem, I can help you find the value of ( x ).
usually its used to find a missing angle or length of a right triangle. Of course there is more to trigonometry. any way you can use sine, cosine, and tangent, to fine the missing angle or length
Use tangent to find the other leg, and the sine or cosine to find the hypotenuse.
Sine = -0.5 Cosine = -0.866 Tangent = 0.577
Cosine(30) = sqrt(3)/2
Cotangent is ' 1/tangent' or ' Cosine / Sine'.
It depends on what information you already have. For example, if you know the length of two sides of a triangle, you can easily find the tangent. Or, if you know the length of two angles and a side, you can find the other sides as well, using the tangent, cosine, and sine as needed.
You can use your trigonometric functions (sine, cosine, and tangent).
They are used to find the angle or side measurement of a right triangle. For example, if 2 sides of a right triangle have known values and an angle has a known measurement, you can find the third side by using sine, cosine or tangent.
First make sure your calculator is in 'Degree Mode (D)'. Then using the 'Inverse' of 'Sin' , shown as 'ArcSin' or ' Sin^(-1)' . enter '0.5', followed by '=' . The answer should be '30' ( 30 degrees).
I find it convenient to express other trigonometric functions in terms of sine and cosine - that tends to simplify things. The secant function is even because it is the reciprocal of the cosine function, which is even. The tangent function is the sine divided by the cosine - an odd function divided by an even function. Therefore it is odd. The cosecant is the reciprocal of an odd function, so it is naturally also an odd function.
to find the measure of an angle. EX: if sin A = 0.1234, then inv sin (0.1234) will give you the measure of angle A
By differentiating the answer and plugging in the x value along the curve, you are finding the exact slope of the curve at that point. In effect, this would be the slope of the tangent line, as a tangent line only intersects another at one point. To find the equation of a tangent line to a curve, use the point slope form (y-y1)=m(x-x1), m being the slope. Use the differential to find the slope and use the point on the curve to plug in for (x1, y1).
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.
usually its used to find a missing angle or length of a right triangle. Of course there is more to trigonometry. any way you can use sine, cosine, and tangent, to fine the missing angle or length