sec 2 10° – cot 2 80° = ?

sec 2 10° – cot 2 80° = sec 2 10° – tan 2 (90° – 80°) = sec 2 10° – tan 2 10° = 1

sec² 10° – cot² 80° = ?

sec² 10° – cot² 80° = sec² 10° – tan² (90° – 80°)

= sec² 10° – tan² 10°

= 1