In a construction project, two support beams form angles of 30° and 60° with the ground, respectively. Engineers must calculate combined efficiency using tan A + cot B where A = 30° and B = 60°. Both angles are complementary. Find the value of tan A + cot B when A = 30° and B = 60°.
Show answer & explanation
Correct answer: C
Explanation
Given:
A = 30°
B = 60°
According to the formula:
tan 30° = 1/√3
cot 60° = 1/√3
tan A + cot B
= tan 30° + cot 60°
= 1/√3 + 1/√3
= 2/√3