Find the exact value of the following expression for the giv

Find the exact value of the following expression for the given value of theta sec^2 (2 theta) if theta = pi/6 If 0 = x/6, then sec^2 (2 theta) = Do not use a calculator.

Solution

we have given sec²(2*theta) if theta=pi/6

sec²(2*(pi/6)) since substituting theta =pi/6

sec²((pi/3)) =(sec(pi/3))²=(2)²=4 since sec(pi/3)=2

sec²(2*theta)=4 when theta =pi/6