Question

If sec 0 = x + -- then prove that sec 0 + tan 0 = 2x or

11th - 12th Class

Maths

Solution

145

4.0 (1 ratings)

( sec theta=x+frac{1}{4 x} ) ( sec ^{2} theta=x^{2}+frac{1}{(4 x)^{2}+2 x x+4} ) ( 1+tan ^{2} theta=x^{2}+frac{1}{(4 x)^{2}}+frac{1}{2} ) ( tan ^{2} theta=x^{2}+frac{1}{(4 x)^{2}-frac{1}{2}} ) ( tan theta=x-frac{1}{4 x} ) ( sec theta+tan theta=x+frac{1}{4 x}+x-frac{1}{4 x}=2 x )