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Trigonometric Ratios

20. Let A=[co...

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20. Let A=[cosx sinx] -Sinx cosx then I2AI is equal to

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sin x + cos x = \sqrt{2} cos x

, then cosx - sin x is equal to

sin x + cos x = a,

| sin x - cos x |

f (x) = \frac{sin (x - a) + sin (x + a)}{cos (x - a) - cos (x + a)}

a = \frac{2 sin x}{1 + cos x + sin x}

, then prove that

\frac{1 - cos x + sin x}{1 + sin x}

is also equal to

a

\int_{0}^{π / 2} | s i n x - c o s x | d x

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