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Coordinate Geometry Part I
Technique 1: Finding the gradient of a line Parallel lines Parallel lines have the same gradient Perpendicular lines If a line has a gradient of 1/2 , the gradient of the line perpendicular to it is -2. -2 is the negative reciprocal of 1/2. In other words, we "flip" the fraction 1/2 to get 2 and attach a negative sign Technique 2: Finding equation of a straight line The general format of a straight line is y = mx + c where m is the gradient and, c is the y intercept Example 2 Find the equation of a line that contains the points (1,2) and (3,4). From the example above we know that gradient of the line is 1. Hence the equation of the line is: y = 1x + c To find the y intercept, c, we sub in one of the points I choose the point (1,2) and sub x =1, y = 2 2 = 1 + c Hence c = 1 The equation of the line is y = x + 1 Let us combine the techniques we have learnt so far to solve a typical O Level question Question 1 The figure above shows a trapezium where AB is parallel to CD. Both
You can integrate tanx however. You allow tanx to equal sinx/cosx, and that will integrate to -1ln|cosx| which equals ln|secx|+c.ReplyDelete
Thank you - it helped a lot!ReplyDelete
Each of the trigonometric capacities has a valuable reverse. In this way, for occasion, the reverse of the sine capacity is known as the arcsine, the opposite of the cosine is known as the arccosine, and the converse of the digression is known as the arctangent. http://www.mordocrosswords.com/2016/02/trigonometric-function_23.htmlReplyDelete