Question

What is the value of cot ⁡333° $\sqrt{sec^2 333 - 1}$

Answer 1

sec²theta -tan² theta =1 cot333°√(sec²333° -1)

= cot333√(tan²333°)

=cot333° × tan333°

= 1

because

cot theta = 1/tan theta

then, cot theta×tan theta = 1