Question

Pls answer this problem fast using Trigonometrical identities. If you show all the steps correctly, I should mark you as 'Brainliest'.​

Answer 1

I hope it helps....

cheers❤❤

Answer 2

$\sqrt{ \sec(a - 1 \div \sec(a + 1) ) } + \sqrt{ \sec(a + 1 \div \sec(a - 1) ) } = \\ rationalising \: the \: denominators \: we \: get \\ \sec(a ) - 1 \div \tan(a) + \sec(a) + 1 \div \tan(a) \\ \sec(a) - 1 + \sec(a) + 1 \div \tan(a) \\ = 2 \sec(a) \div \tan(a) = 2 \csc(a) (since \: 1 \div tan(a) = \cot(a) )$