Tan(3a_)(sqrt(2) / 2 )(sqrt(2)/2) + 0.5
Tan(3a) ( 2/4) + 1/2
Tan(3a) ( 1/2 + 1/2 )
Sin(3a) (1) / 2Cos(3a) + 1/2
Without beinf equated to anything this will not go any further.
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Find the value of Cos1o.cos2o.cos3o.cos4o......cos179o.Ans: Cos90o=0Therefore, Cos1o.Cos20,Cos30,cos40......Cos900.......Cos1790=0
cos(195) = -0.965925826289
The exact value of sec 4pi divided by 3 is 1/3.
cos20 x cos40 x cos80 = 0.0300 radians = 0.125 degrees (the value for radians is given to four decimal places, the value in degrees is exact)
On a calculator type in 'Sin' , followed by '30' follwed by '=' . The answer is '0,5'. Sin(30) = 0.5 All the trig. values are based on a triangle integrated into a circle. Practically, On a piece of graph paper, draw a circle centred on the origin (0,0). Call the radius of that circle '1'. Now draw a radius 30 degrees from the x-axis. Then drop a line from point on the circle were the radius meets( intersects) the circle. to the x-axis, to meet the x-axis at 90 degrees. This 'dropped' line is the 'opposite' to the angle 30 degrees. Measure the length of this 'dropped'; line. You will find it to be exactly half (0.5 = 1/2) the length of the radius. Similarly, if the radial angle is 45 degrees a corresponding sine value is 0.707106781... = sqrt(2)/2 = 1/sqrt(2). All other 'Sine' values can be found in a similar manner. However, to save time on drawing circles and triangles, the trig. values are integrated into modern calculators or formerly into Castle's Four Figure Tables.