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Solve for exactly (0, 2π)

Question

Solve for exactly (0, 2π)

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Step 1

Firstly, we use double angle formula which is cos2x=1-2(sinx)^2, to get a quadratic in sin (thita/2)=u, which can be solved to get two values.

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Step 2

Now sin(thita/2) =-1 gives no solution in (0,2pi) as shown on board.

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Step 3

sin(thita/2)=1/2 gives two solutions as value of si...

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Math

Trigonometry

Trigonometric Ratios

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