trigonometry x

As x increases from 180 o to 270 o , sinx decreases from 0 to -1 and as x increases from 270 o to 360 o , sinx increases from -1 to 0. The maximum absolute value of 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..

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Trigonometry (Continued)..

Summary - 1. In the principle value branches, the following formulae holds: sin -1 (sin x) = x, cos -1 (cos x) = x, tan -1 (tan x) = x, cos -1 (cot x) = x, sec -1 (secx) = x, cosec -1 (cosecx) = x 2...

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Question 1 - Question: Answer: Solve the equations sec q + tan q = x ....(..

Even and Odd functions - i) A function f(x) is said to be even if f(-x) = f(x) ii) A function f(x) is said to be odd if f(-x) = -f(x) e.g., f(x) = x 3 , f(-x) = (-x) 3 = -x 3 = -f(x..

(i) 1 + tan 2 x = sec 2 x (ii) 1 + cot 2 x = cosec 2 x..

i) A function f(x) is said to be even if f(-x) = f(x). ii) A function f(x) is said to be odd if f(-x) = -f(x..