Question

Find the value of cot 7° cot 23° cot 60° cot 67° cot 83°​

Answer 1

Answer:

1/√3

Step-by-step explanation:

cot7⁰ = tan 83⁰ ( tan(90-x) = cot(x) )

cot23⁰ = tan67⁰

cot60⁰ = 1/√3

cot7⁰ cot23⁰ cot60⁰ cot67⁰ cot83⁰

= tan83⁰ tan67⁰ (1/√3) cot67⁰ cot83⁰

= (1)(1)(1/√3) ( tanx = 1/cotx)

answer is 1/√3