sin trigonometry

- 1 x For x [-1, 1], if q is an angle whose sine is x, then we say that sine inverse x is q and write sin -1 x = q . For practical purposes, only principal values of sin - 1 x are considered. sin - 1 x is a function of x with domain [-1,1] and ra..

Graph of y = sin x - Now let us construct the graph of y = sinx from x = 0 o to 360 o . The following table is readily constructed for intervals of 30 o . Plotting the points and drawing a smooth curve through them we have the curve as shown in figur..

It is clear from the diagram that the values of 2 p . ..

(i) Sin q means a particular ratio. It is not sin multiplied by q . (ii) For trigonometrical ratios, short form T-ratios will be used. (iii) In right angled triangles T-ratios are obtained only for acute angles. (iv) T-ratios depend on only the magnitu..

With trigonometry we can find the height of a building or the width of a river without actually climbing or crossing. Certain basic definitions are necessary to further develop this subject. The ratios of two sides of a triangle are taken. There are six possible combinations. Each ratio i..

Summary - sine of an angle = cosine of its complement. If sin A = cos B, then A + B = 90 o . Trigonometric ratios of standard angles (i) sin 0 o = 0, cos 0 o = 1, tan 0 o = 0 (i..

If log (sin C) comes out as positive, sin C would have to be greater than 1 and there is no solutio..

Sketch the graphs of the following: (i) y = sin 3x and y = 2 sin 3x (ii) y = tan 2x (i) y = sin 3x and y = 2 sin..

Trigonometric Ratios of Multiple and Sub-multiple Angles are: 1. Sin2A = 2SinACosA 2. Cos2A = Cos 2 A-Sin 2 ..