If cos A = 12/13, find the values of sin A and cot A.
Show answer & explanation
Correct answer: C
Explanation
Given:
cos A = 12/13
By the formula:
sin²A + cos²A = 1
cot A = cos A / sin A
sin A = √(1 − cos²A)
= √(1 − (12/13)²)
= √(1 − 144/169)
= √(25/169)
= 5/13
cot A
= cos A / sin A
= (12/13) / (5/13)
= 12/5
sin A = 5/13
cot A = 12/5