Question

If cos0 =1/2
find the value of 2seco
1+tan 01​

Answer 1

$\cos( \alpha ) = \frac{1}{2} \\ \cos(30) = \frac{1}{2} \\ \alpha = 30 {}^{o} \\ 2\sec( \alpha ) = 2\sec(30 ) = 2 \times 2 = 4 \\ \tan {}^{2} ( 30) = ( \sqrt{3}) {}^{2} = 3 \\ \\ 2 \sec( \alpha ) + 1 + \tan {}^{2} ( \alpha ) = 4 + 1 + 3 = 8$

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