Eduprobe
Question:
Choose the correct option. Justify your choice. 1+tan²A / 1+cot²A = sec²A-1; cot²A tan²A
cot²A
sec²A
−1;
tan²A
Solution:
The correct option is D tan²A
The value of 1+tan²A / 1+cot²A = 1+sin²A/cos²A / 1+cos²A/sin²A = (cos²A+sin²A)/cos²A / (sin²A+cos²A)/sin²A × sin²A/cos²A = tan²A