prepare for trigonometric and circular functions

\ The Circular function of a real number q and the trigonometric function for the angle q c are same. The identities for circular functions of real numbers hold for trigonometric functions of angle ..

The circular functions are functions of an angle. They are important in the study of triangles and modeling periodic phenomena, among many other applications. Trigonometric functions are commonly defined as ratios of two sides of a right trian..

Trigonometric functions are sinx, cosx, tanx, etc. The graph of these functions have been done in class X..

1. The reciprocal of cos q = 1/cos q = sec q . 2. The reciprocal of sin q = 1/sin q = cosec q . 3. The reciprocal of tan q = 1/tan q = cot q..

Limits of Trigonometric Functions..

Values of Trigonometric Functions of 30 o , 45 o , 60 o and 90 o - Let OA be the revolving ray starting from A. Let OA take the new position OP so that Draw PM perpendicular to OX and produce it to Q. Draw O..

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..

The figure shows the position of the variable point A along the circumference of the unit circle. When it is at P 1 , Q 1 , R and S making angle q with the x-axis ..

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The following results have already been derived under Circular function..